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Finding the Fourth Proportional to 115,505.64, 159,343.02 and 75,204.72

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Solution

The fourth proportional to 115,505.64, 159,343.02 and 75,204.72 is: 103,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,505.64 : 159,343.02 = 75,204.72 : x
  2. Step 2: Convert to fraction form
    115,505.64/159,343.02 = 75,204.72/x
  3. Step 3: Cross multiply
    115,505.64x = 159,343.02 × 75,204.72
  4. Step 4: Simplify right side
    115,505.64x = 11,983,347,203.05
  5. Step 5: Solve for x
    x = 11,983,347,203.05/115,505.64
  6. Step 6: Final answer
    x = 103,746.86

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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.