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Finding the Fourth Proportional to 411,113.88, 616,737.33 and 126,737.91

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Solution

The fourth proportional to 411,113.88, 616,737.33 and 126,737.91 is: 190,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,113.88 : 616,737.33 = 126,737.91 : x
  2. Step 2: Convert to fraction form
    411,113.88/616,737.33 = 126,737.91/x
  3. Step 3: Cross multiply
    411,113.88x = 616,737.33 × 126,737.91
  4. Step 4: Simplify right side
    411,113.88x = 78,164,000,223.18
  5. Step 5: Solve for x
    x = 78,164,000,223.18/411,113.88
  6. Step 6: Final answer
    x = 190,127.37

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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.