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Finding the Fourth Proportional to 102,909.30, 154,363.95 and 50,421.30

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Solution

The fourth proportional to 102,909.30, 154,363.95 and 50,421.30 is: 75,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,909.30 : 154,363.95 = 50,421.30 : x
  2. Step 2: Convert to fraction form
    102,909.30/154,363.95 = 50,421.30/x
  3. Step 3: Cross multiply
    102,909.30x = 154,363.95 × 50,421.30
  4. Step 4: Simplify right side
    102,909.30x = 7,783,231,032.14
  5. Step 5: Solve for x
    x = 7,783,231,032.14/102,909.30
  6. Step 6: Final answer
    x = 75,631.95

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.