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Finding the Fourth Proportional to 138,689.85, 191,391.58 and 75,027.63

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Solution

The fourth proportional to 138,689.85, 191,391.58 and 75,027.63 is: 103,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,689.85 : 191,391.58 = 75,027.63 : x
  2. Step 2: Convert to fraction form
    138,689.85/191,391.58 = 75,027.63/x
  3. Step 3: Cross multiply
    138,689.85x = 191,391.58 × 75,027.63
  4. Step 4: Simplify right side
    138,689.85x = 14,359,656,274.22
  5. Step 5: Solve for x
    x = 14,359,656,274.22/138,689.85
  6. Step 6: Final answer
    x = 103,537.90

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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.