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Finding the Fourth Proportional to 138,199.32, 207,317.22 and 48,243.66

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Solution

The fourth proportional to 138,199.32, 207,317.22 and 48,243.66 is: 72,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,199.32 : 207,317.22 = 48,243.66 : x
  2. Step 2: Convert to fraction form
    138,199.32/207,317.22 = 48,243.66/x
  3. Step 3: Cross multiply
    138,199.32x = 207,317.22 × 48,243.66
  4. Step 4: Simplify right side
    138,199.32x = 10,001,740,437.24
  5. Step 5: Solve for x
    x = 10,001,740,437.24/138,199.32
  6. Step 6: Final answer
    x = 72,371.85

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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.