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Finding the Fourth Proportional to 103,101.80, 154,458.30 and 53,011.40

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Solution

The fourth proportional to 103,101.80, 154,458.30 and 53,011.40 is: 79,417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,101.80 : 154,458.30 = 53,011.40 : x
  2. Step 2: Convert to fraction form
    103,101.80/154,458.30 = 53,011.40/x
  3. Step 3: Cross multiply
    103,101.80x = 154,458.30 × 53,011.40
  4. Step 4: Simplify right side
    103,101.80x = 8,188,050,724.62
  5. Step 5: Solve for x
    x = 8,188,050,724.62/103,101.80
  6. Step 6: Final answer
    x = 79,417.15

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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.