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Finding the Fourth Proportional to 137,465.98, 206,231.16 and 42,691.32

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Solution

The fourth proportional to 137,465.98, 206,231.16 and 42,691.32 is: 64,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,465.98 : 206,231.16 = 42,691.32 : x
  2. Step 2: Convert to fraction form
    137,465.98/206,231.16 = 42,691.32/x
  3. Step 3: Cross multiply
    137,465.98x = 206,231.16 × 42,691.32
  4. Step 4: Simplify right side
    137,465.98x = 8,804,280,605.62
  5. Step 5: Solve for x
    x = 8,804,280,605.62/137,465.98
  6. Step 6: Final answer
    x = 64,046.98

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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.