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Finding the Fourth Proportional to 257,294.40, 385,112.16 and 132,463.68

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Solution

The fourth proportional to 257,294.40, 385,112.16 and 132,463.68 is: 198,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,294.40 : 385,112.16 = 132,463.68 : x
  2. Step 2: Convert to fraction form
    257,294.40/385,112.16 = 132,463.68/x
  3. Step 3: Cross multiply
    257,294.40x = 385,112.16 × 132,463.68
  4. Step 4: Simplify right side
    257,294.40x = 51,013,373,926.35
  5. Step 5: Solve for x
    x = 51,013,373,926.35/257,294.40
  6. Step 6: Final answer
    x = 198,268.50

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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.