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Finding the Fourth Proportional to 138,205.60, 207,256.32 and 44,686.24

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Solution

The fourth proportional to 138,205.60, 207,256.32 and 44,686.24 is: 67,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,205.60 : 207,256.32 = 44,686.24 : x
  2. Step 2: Convert to fraction form
    138,205.60/207,256.32 = 44,686.24/x
  3. Step 3: Cross multiply
    138,205.60x = 207,256.32 × 44,686.24
  4. Step 4: Simplify right side
    138,205.60x = 9,261,505,657.04
  5. Step 5: Solve for x
    x = 9,261,505,657.04/138,205.60
  6. Step 6: Final answer
    x = 67,012.52

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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.