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Finding the Fourth Proportional to 237,824.80, 356,737.20 and 97,511.20

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Solution

The fourth proportional to 237,824.80, 356,737.20 and 97,511.20 is: 146,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,824.80 : 356,737.20 = 97,511.20 : x
  2. Step 2: Convert to fraction form
    237,824.80/356,737.20 = 97,511.20/x
  3. Step 3: Cross multiply
    237,824.80x = 356,737.20 × 97,511.20
  4. Step 4: Simplify right side
    237,824.80x = 34,785,872,456.64
  5. Step 5: Solve for x
    x = 34,785,872,456.64/237,824.80
  6. Step 6: Final answer
    x = 146,266.80

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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.