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Finding the Fourth Proportional to 119,248.62, 164,566.13 and 65,535

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Solution

The fourth proportional to 119,248.62, 164,566.13 and 65,535 is: 90,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,248.62 : 164,566.13 = 65,535 : x
  2. Step 2: Convert to fraction form
    119,248.62/164,566.13 = 65,535/x
  3. Step 3: Cross multiply
    119,248.62x = 164,566.13 × 65,535
  4. Step 4: Simplify right side
    119,248.62x = 10,784,841,001.88
  5. Step 5: Solve for x
    x = 10,784,841,001.88/119,248.62
  6. Step 6: Final answer
    x = 90,439.96

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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.