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Finding the Fourth Proportional to 119,462.56, 164,852.10 and 65,737.18

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Solution

The fourth proportional to 119,462.56, 164,852.10 and 65,737.18 is: 90,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,462.56 : 164,852.10 = 65,737.18 : x
  2. Step 2: Convert to fraction form
    119,462.56/164,852.10 = 65,737.18/x
  3. Step 3: Cross multiply
    119,462.56x = 164,852.10 × 65,737.18
  4. Step 4: Simplify right side
    119,462.56x = 10,836,912,171.08
  5. Step 5: Solve for x
    x = 10,836,912,171.08/119,462.56
  6. Step 6: Final answer
    x = 90,713.88

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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.