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Finding the Fourth Proportional to 119,414.33, 164,792.08 and 65,702.69

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Solution

The fourth proportional to 119,414.33, 164,792.08 and 65,702.69 is: 90,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,414.33 : 164,792.08 = 65,702.69 : x
  2. Step 2: Convert to fraction form
    119,414.33/164,792.08 = 65,702.69/x
  3. Step 3: Cross multiply
    119,414.33x = 164,792.08 × 65,702.69
  4. Step 4: Simplify right side
    119,414.33x = 10,827,283,749.79
  5. Step 5: Solve for x
    x = 10,827,283,749.79/119,414.33
  6. Step 6: Final answer
    x = 90,669.88

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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.