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Finding the Fourth Proportional to 138,728.24, 191,445.04 and 75,065.84

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Solution

The fourth proportional to 138,728.24, 191,445.04 and 75,065.84 is: 103,590.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,728.24 : 191,445.04 = 75,065.84 : x
  2. Step 2: Convert to fraction form
    138,728.24/191,445.04 = 75,065.84/x
  3. Step 3: Cross multiply
    138,728.24x = 191,445.04 × 75,065.84
  4. Step 4: Simplify right side
    138,728.24x = 14,370,982,741.43
  5. Step 5: Solve for x
    x = 14,370,982,741.43/138,728.24
  6. Step 6: Final answer
    x = 103,590.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.