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Finding the Fourth Proportional to 131,881.48, 181,992.61 and 77,432.74

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Solution

The fourth proportional to 131,881.48, 181,992.61 and 77,432.74 is: 106,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,881.48 : 181,992.61 = 77,432.74 : x
  2. Step 2: Convert to fraction form
    131,881.48/181,992.61 = 77,432.74/x
  3. Step 3: Cross multiply
    131,881.48x = 181,992.61 × 77,432.74
  4. Step 4: Simplify right side
    131,881.48x = 14,092,186,452.05
  5. Step 5: Solve for x
    x = 14,092,186,452.05/131,881.48
  6. Step 6: Final answer
    x = 106,854.93

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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.