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Finding the Fourth Proportional to 208,355.66, 287,552.10 and 150,260.38

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Solution

The fourth proportional to 208,355.66, 287,552.10 and 150,260.38 is: 207,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,355.66 : 287,552.10 = 150,260.38 : x
  2. Step 2: Convert to fraction form
    208,355.66/287,552.10 = 150,260.38/x
  3. Step 3: Cross multiply
    208,355.66x = 287,552.10 × 150,260.38
  4. Step 4: Simplify right side
    208,355.66x = 43,207,687,815.80
  5. Step 5: Solve for x
    x = 43,207,687,815.80/208,355.66
  6. Step 6: Final answer
    x = 207,374.68

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Why These Related Problems?

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