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Finding the Fourth Proportional to 138,808.46, 191,555.74 and 75,146.26

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Solution

The fourth proportional to 138,808.46, 191,555.74 and 75,146.26 is: 103,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,808.46 : 191,555.74 = 75,146.26 : x
  2. Step 2: Convert to fraction form
    138,808.46/191,555.74 = 75,146.26/x
  3. Step 3: Cross multiply
    138,808.46x = 191,555.74 × 75,146.26
  4. Step 4: Simplify right side
    138,808.46x = 14,394,697,442.53
  5. Step 5: Solve for x
    x = 14,394,697,442.53/138,808.46
  6. Step 6: Final answer
    x = 103,701.87

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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.