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Finding the Fourth Proportional to 131,711.68, 181,762.34 and 71,282.39

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Solution

The fourth proportional to 131,711.68, 181,762.34 and 71,282.39 is: 98,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,711.68 : 181,762.34 = 71,282.39 : x
  2. Step 2: Convert to fraction form
    131,711.68/181,762.34 = 71,282.39/x
  3. Step 3: Cross multiply
    131,711.68x = 181,762.34 × 71,282.39
  4. Step 4: Simplify right side
    131,711.68x = 12,956,453,098.38
  5. Step 5: Solve for x
    x = 12,956,453,098.38/131,711.68
  6. Step 6: Final answer
    x = 98,369.81

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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.