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Finding the Fourth Proportional to 119,473.31, 164,871.90 and 65,757.17

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Solution

The fourth proportional to 119,473.31, 164,871.90 and 65,757.17 is: 90,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,473.31 : 164,871.90 = 65,757.17 : x
  2. Step 2: Convert to fraction form
    119,473.31/164,871.90 = 65,757.17/x
  3. Step 3: Cross multiply
    119,473.31x = 164,871.90 × 65,757.17
  4. Step 4: Simplify right side
    119,473.31x = 10,841,509,556.52
  5. Step 5: Solve for x
    x = 10,841,509,556.52/119,473.31
  6. Step 6: Final answer
    x = 90,744.20

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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.