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Finding the Fourth Proportional to 137,424.90, 206,166.78 and 42,653.10

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Solution

The fourth proportional to 137,424.90, 206,166.78 and 42,653.10 is: 63,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,424.90 : 206,166.78 = 42,653.10 : x
  2. Step 2: Convert to fraction form
    137,424.90/206,166.78 = 42,653.10/x
  3. Step 3: Cross multiply
    137,424.90x = 206,166.78 × 42,653.10
  4. Step 4: Simplify right side
    137,424.90x = 8,793,652,284.02
  5. Step 5: Solve for x
    x = 8,793,652,284.02/137,424.90
  6. Step 6: Final answer
    x = 63,988.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.