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Finding the Fourth Proportional to 131,862.97, 181,971.44 and 71,433.60

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Solution

The fourth proportional to 131,862.97, 181,971.44 and 71,433.60 is: 98,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,862.97 : 181,971.44 = 71,433.60 : x
  2. Step 2: Convert to fraction form
    131,862.97/181,971.44 = 71,433.60/x
  3. Step 3: Cross multiply
    131,862.97x = 181,971.44 × 71,433.60
  4. Step 4: Simplify right side
    131,862.97x = 12,998,875,056.38
  5. Step 5: Solve for x
    x = 12,998,875,056.38/131,862.97
  6. Step 6: Final answer
    x = 98,578.66

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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.