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Finding the Fourth Proportional to 119,802.15, 165,324.90 and 66,092.31

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Solution

The fourth proportional to 119,802.15, 165,324.90 and 66,092.31 is: 91,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,802.15 : 165,324.90 = 66,092.31 : x
  2. Step 2: Convert to fraction form
    119,802.15/165,324.90 = 66,092.31/x
  3. Step 3: Cross multiply
    119,802.15x = 165,324.90 × 66,092.31
  4. Step 4: Simplify right side
    119,802.15x = 10,926,704,541.52
  5. Step 5: Solve for x
    x = 10,926,704,541.52/119,802.15
  6. Step 6: Final answer
    x = 91,206.25

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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.