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Finding the Fourth Proportional to 138,360.96, 206,360.06 and 117,438.66

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Solution

The fourth proportional to 138,360.96, 206,360.06 and 117,438.66 is: 175,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,360.96 : 206,360.06 = 117,438.66 : x
  2. Step 2: Convert to fraction form
    138,360.96/206,360.06 = 117,438.66/x
  3. Step 3: Cross multiply
    138,360.96x = 206,360.06 × 117,438.66
  4. Step 4: Simplify right side
    138,360.96x = 24,234,648,336.73
  5. Step 5: Solve for x
    x = 24,234,648,336.73/138,360.96
  6. Step 6: Final answer
    x = 175,155.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.