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Finding the Fourth Proportional to 129,314.40, 178,427.13 and 75,589.02

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Solution

The fourth proportional to 129,314.40, 178,427.13 and 75,589.02 is: 104,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,314.40 : 178,427.13 = 75,589.02 : x
  2. Step 2: Convert to fraction form
    129,314.40/178,427.13 = 75,589.02/x
  3. Step 3: Cross multiply
    129,314.40x = 178,427.13 × 75,589.02
  4. Step 4: Simplify right side
    129,314.40x = 13,487,131,898.11
  5. Step 5: Solve for x
    x = 13,487,131,898.11/129,314.40
  6. Step 6: Final answer
    x = 104,297.22

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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.