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Finding the Fourth Proportional to 102,856.30, 154,284.45 and 50,368.30

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Solution

The fourth proportional to 102,856.30, 154,284.45 and 50,368.30 is: 75,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,856.30 : 154,284.45 = 50,368.30 : x
  2. Step 2: Convert to fraction form
    102,856.30/154,284.45 = 50,368.30/x
  3. Step 3: Cross multiply
    102,856.30x = 154,284.45 × 50,368.30
  4. Step 4: Simplify right side
    102,856.30x = 7,771,045,462.94
  5. Step 5: Solve for x
    x = 7,771,045,462.94/102,856.30
  6. Step 6: Final answer
    x = 75,552.45

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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.