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Finding the Fourth Proportional to 186,837.60, 280,353.60 and 81,667.20

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Solution

The fourth proportional to 186,837.60, 280,353.60 and 81,667.20 is: 122,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,837.60 : 280,353.60 = 81,667.20 : x
  2. Step 2: Convert to fraction form
    186,837.60/280,353.60 = 81,667.20/x
  3. Step 3: Cross multiply
    186,837.60x = 280,353.60 × 81,667.20
  4. Step 4: Simplify right side
    186,837.60x = 22,895,693,521.92
  5. Step 5: Solve for x
    x = 22,895,693,521.92/186,837.60
  6. Step 6: Final answer
    x = 122,543.29

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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.