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Finding the Fourth Proportional to 187,522, 281,352.12 and 98,771.92

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Solution

The fourth proportional to 187,522, 281,352.12 and 98,771.92 is: 148,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,522 : 281,352.12 = 98,771.92 : x
  2. Step 2: Convert to fraction form
    187,522/281,352.12 = 98,771.92/x
  3. Step 3: Cross multiply
    187,522x = 281,352.12 × 98,771.92
  4. Step 4: Simplify right side
    187,522x = 27,789,689,088.47
  5. Step 5: Solve for x
    x = 27,789,689,088.47/187,522
  6. Step 6: Final answer
    x = 148,194.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.