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Finding the Fourth Proportional to 119,615.23, 165,062.91 and 65,899.17

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Solution

The fourth proportional to 119,615.23, 165,062.91 and 65,899.17 is: 90,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,615.23 : 165,062.91 = 65,899.17 : x
  2. Step 2: Convert to fraction form
    119,615.23/165,062.91 = 65,899.17/x
  3. Step 3: Cross multiply
    119,615.23x = 165,062.91 × 65,899.17
  4. Step 4: Simplify right side
    119,615.23x = 10,877,509,013.91
  5. Step 5: Solve for x
    x = 10,877,509,013.91/119,615.23
  6. Step 6: Final answer
    x = 90,937.49

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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.