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Finding the Fourth Proportional to 469,102.43, 703,697.45 and 132,142.52

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Solution

The fourth proportional to 469,102.43, 703,697.45 and 132,142.52 is: 198,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,102.43 : 703,697.45 = 132,142.52 : x
  2. Step 2: Convert to fraction form
    469,102.43/703,697.45 = 132,142.52/x
  3. Step 3: Cross multiply
    469,102.43x = 703,697.45 × 132,142.52
  4. Step 4: Simplify right side
    469,102.43x = 92,988,350,181.37
  5. Step 5: Solve for x
    x = 92,988,350,181.37/469,102.43
  6. Step 6: Final answer
    x = 198,226.11

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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.