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Finding the Fourth Proportional to 119,006.52, 164,232.54 and 65,294.88

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Solution

The fourth proportional to 119,006.52, 164,232.54 and 65,294.88 is: 90,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,006.52 : 164,232.54 = 65,294.88 : x
  2. Step 2: Convert to fraction form
    119,006.52/164,232.54 = 65,294.88/x
  3. Step 3: Cross multiply
    119,006.52x = 164,232.54 × 65,294.88
  4. Step 4: Simplify right side
    119,006.52x = 10,723,543,991.40
  5. Step 5: Solve for x
    x = 10,723,543,991.40/119,006.52
  6. Step 6: Final answer
    x = 90,108.88

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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.