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Finding the Fourth Proportional to 145,948.47, 218,843.24 and 65,892.66

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Solution

The fourth proportional to 145,948.47, 218,843.24 and 65,892.66 is: 98,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,948.47 : 218,843.24 = 65,892.66 : x
  2. Step 2: Convert to fraction form
    145,948.47/218,843.24 = 65,892.66/x
  3. Step 3: Cross multiply
    145,948.47x = 218,843.24 × 65,892.66
  4. Step 4: Simplify right side
    145,948.47x = 14,420,162,056.49
  5. Step 5: Solve for x
    x = 14,420,162,056.49/145,948.47
  6. Step 6: Final answer
    x = 98,803.11

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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.