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Finding the Fourth Proportional to 357,119.27, 535,337.18 and 132,419.60

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Solution

The fourth proportional to 357,119.27, 535,337.18 and 132,419.60 is: 198,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,119.27 : 535,337.18 = 132,419.60 : x
  2. Step 2: Convert to fraction form
    357,119.27/535,337.18 = 132,419.60/x
  3. Step 3: Cross multiply
    357,119.27x = 535,337.18 × 132,419.60
  4. Step 4: Simplify right side
    357,119.27x = 70,889,135,240.73
  5. Step 5: Solve for x
    x = 70,889,135,240.73/357,119.27
  6. Step 6: Final answer
    x = 198,502.69

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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.