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Finding the Fourth Proportional to 119,908.23, 165,472.47 and 66,193.23

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Solution

The fourth proportional to 119,908.23, 165,472.47 and 66,193.23 is: 91,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,908.23 : 165,472.47 = 66,193.23 : x
  2. Step 2: Convert to fraction form
    119,908.23/165,472.47 = 66,193.23/x
  3. Step 3: Cross multiply
    119,908.23x = 165,472.47 × 66,193.23
  4. Step 4: Simplify right side
    119,908.23x = 10,953,157,265.38
  5. Step 5: Solve for x
    x = 10,953,157,265.38/119,908.23
  6. Step 6: Final answer
    x = 91,346.17

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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.