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Finding the Fourth Proportional to 150,307.32, 225,473.78 and 39,499

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Solution

The fourth proportional to 150,307.32, 225,473.78 and 39,499 is: 59,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,307.32 : 225,473.78 = 39,499 : x
  2. Step 2: Convert to fraction form
    150,307.32/225,473.78 = 39,499/x
  3. Step 3: Cross multiply
    150,307.32x = 225,473.78 × 39,499
  4. Step 4: Simplify right side
    150,307.32x = 8,905,988,836.22
  5. Step 5: Solve for x
    x = 8,905,988,836.22/150,307.32
  6. Step 6: Final answer
    x = 59,251.86

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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.