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Finding the Fourth Proportional to 129,344.85, 178,495.25 and 72,756.63

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Solution

The fourth proportional to 129,344.85, 178,495.25 and 72,756.63 is: 100,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,344.85 : 178,495.25 = 72,756.63 : x
  2. Step 2: Convert to fraction form
    129,344.85/178,495.25 = 72,756.63/x
  3. Step 3: Cross multiply
    129,344.85x = 178,495.25 × 72,756.63
  4. Step 4: Simplify right side
    129,344.85x = 12,986,712,497.22
  5. Step 5: Solve for x
    x = 12,986,712,497.22/129,344.85
  6. Step 6: Final answer
    x = 100,403.78

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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.