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Finding the Fourth Proportional to 137,419.53, 205,892.56 and 107,422.09

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Solution

The fourth proportional to 137,419.53, 205,892.56 and 107,422.09 is: 160,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,419.53 : 205,892.56 = 107,422.09 : x
  2. Step 2: Convert to fraction form
    137,419.53/205,892.56 = 107,422.09/x
  3. Step 3: Cross multiply
    137,419.53x = 205,892.56 × 107,422.09
  4. Step 4: Simplify right side
    137,419.53x = 22,117,409,110.65
  5. Step 5: Solve for x
    x = 22,117,409,110.65/137,419.53
  6. Step 6: Final answer
    x = 160,948.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.