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Finding the Fourth Proportional to 231,545.91, 319,582.98 and 150,829.41

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Solution

The fourth proportional to 231,545.91, 319,582.98 and 150,829.41 is: 208,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,545.91 : 319,582.98 = 150,829.41 : x
  2. Step 2: Convert to fraction form
    231,545.91/319,582.98 = 150,829.41/x
  3. Step 3: Cross multiply
    231,545.91x = 319,582.98 × 150,829.41
  4. Step 4: Simplify right side
    231,545.91x = 48,202,512,319.44
  5. Step 5: Solve for x
    x = 48,202,512,319.44/231,545.91
  6. Step 6: Final answer
    x = 208,176.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.