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Finding the Fourth Proportional to 131,827.74, 181,921.37 and 71,397

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Solution

The fourth proportional to 131,827.74, 181,921.37 and 71,397 is: 98,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,827.74 : 181,921.37 = 71,397 : x
  2. Step 2: Convert to fraction form
    131,827.74/181,921.37 = 71,397/x
  3. Step 3: Cross multiply
    131,827.74x = 181,921.37 × 71,397
  4. Step 4: Simplify right side
    131,827.74x = 12,988,640,232.38
  5. Step 5: Solve for x
    x = 12,988,640,232.38/131,827.74
  6. Step 6: Final answer
    x = 98,527.37

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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.