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Finding the Fourth Proportional to 150,476.33, 225,648.87 and 56,916.47

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Solution

The fourth proportional to 150,476.33, 225,648.87 and 56,916.47 is: 85,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,476.33 : 225,648.87 = 56,916.47 : x
  2. Step 2: Convert to fraction form
    150,476.33/225,648.87 = 56,916.47/x
  3. Step 3: Cross multiply
    150,476.33x = 225,648.87 × 56,916.47
  4. Step 4: Simplify right side
    150,476.33x = 12,843,137,139.89
  5. Step 5: Solve for x
    x = 12,843,137,139.89/150,476.33
  6. Step 6: Final answer
    x = 85,349.88

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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.