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Finding the Fourth Proportional to 120,022.50, 165,631.05 and 69,724.74

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Solution

The fourth proportional to 120,022.50, 165,631.05 and 69,724.74 is: 96,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,022.50 : 165,631.05 = 69,724.74 : x
  2. Step 2: Convert to fraction form
    120,022.50/165,631.05 = 69,724.74/x
  3. Step 3: Cross multiply
    120,022.50x = 165,631.05 × 69,724.74
  4. Step 4: Simplify right side
    120,022.50x = 11,548,581,897.18
  5. Step 5: Solve for x
    x = 11,548,581,897.18/120,022.50
  6. Step 6: Final answer
    x = 96,220.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.