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Finding the Fourth Proportional to 232,737.69, 349,133.88 and 82,999.27

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Solution

The fourth proportional to 232,737.69, 349,133.88 and 82,999.27 is: 124,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,737.69 : 349,133.88 = 82,999.27 : x
  2. Step 2: Convert to fraction form
    232,737.69/349,133.88 = 82,999.27/x
  3. Step 3: Cross multiply
    232,737.69x = 349,133.88 × 82,999.27
  4. Step 4: Simplify right side
    232,737.69x = 28,977,857,172.27
  5. Step 5: Solve for x
    x = 28,977,857,172.27/232,737.69
  6. Step 6: Final answer
    x = 124,508.66

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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.