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Finding the Fourth Proportional to 137,234.04, 205,822.20 and 38,715

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Solution

The fourth proportional to 137,234.04, 205,822.20 and 38,715 is: 58,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,234.04 : 205,822.20 = 38,715 : x
  2. Step 2: Convert to fraction form
    137,234.04/205,822.20 = 38,715/x
  3. Step 3: Cross multiply
    137,234.04x = 205,822.20 × 38,715
  4. Step 4: Simplify right side
    137,234.04x = 7,968,406,473
  5. Step 5: Solve for x
    x = 7,968,406,473/137,234.04
  6. Step 6: Final answer
    x = 58,064.36

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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.