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Finding the Fourth Proportional to 152,059.38, 209,842.61 and 84,081.14

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Solution

The fourth proportional to 152,059.38, 209,842.61 and 84,081.14 is: 116,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,059.38 : 209,842.61 = 84,081.14 : x
  2. Step 2: Convert to fraction form
    152,059.38/209,842.61 = 84,081.14/x
  3. Step 3: Cross multiply
    152,059.38x = 209,842.61 × 84,081.14
  4. Step 4: Simplify right side
    152,059.38x = 17,643,805,869.38
  5. Step 5: Solve for x
    x = 17,643,805,869.38/152,059.38
  6. Step 6: Final answer
    x = 116,032.34

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Why These Related Problems?

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