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Finding the Fourth Proportional to 119,651.31, 165,119.91 and 65,938.25

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Solution

The fourth proportional to 119,651.31, 165,119.91 and 65,938.25 is: 90,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,651.31 : 165,119.91 = 65,938.25 : x
  2. Step 2: Convert to fraction form
    119,651.31/165,119.91 = 65,938.25/x
  3. Step 3: Cross multiply
    119,651.31x = 165,119.91 × 65,938.25
  4. Step 4: Simplify right side
    119,651.31x = 10,887,717,079.96
  5. Step 5: Solve for x
    x = 10,887,717,079.96/119,651.31
  6. Step 6: Final answer
    x = 90,995.39

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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.