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Finding the Fourth Proportional to 257,145.84, 385,744.12 and 88,644

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Solution

The fourth proportional to 257,145.84, 385,744.12 and 88,644 is: 132,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,145.84 : 385,744.12 = 88,644 : x
  2. Step 2: Convert to fraction form
    257,145.84/385,744.12 = 88,644/x
  3. Step 3: Cross multiply
    257,145.84x = 385,744.12 × 88,644
  4. Step 4: Simplify right side
    257,145.84x = 34,193,901,773.28
  5. Step 5: Solve for x
    x = 34,193,901,773.28/257,145.84
  6. Step 6: Final answer
    x = 132,974.74

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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.