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Finding the Fourth Proportional to 243,892.20, 365,838.30 and 86,125.80

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Solution

The fourth proportional to 243,892.20, 365,838.30 and 86,125.80 is: 129,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,892.20 : 365,838.30 = 86,125.80 : x
  2. Step 2: Convert to fraction form
    243,892.20/365,838.30 = 86,125.80/x
  3. Step 3: Cross multiply
    243,892.20x = 365,838.30 × 86,125.80
  4. Step 4: Simplify right side
    243,892.20x = 31,508,116,258.14
  5. Step 5: Solve for x
    x = 31,508,116,258.14/243,892.20
  6. Step 6: Final answer
    x = 129,188.70

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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.