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Finding the Fourth Proportional to 129,196.16, 178,274.67 and 74,757.68

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Solution

The fourth proportional to 129,196.16, 178,274.67 and 74,757.68 is: 103,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,196.16 : 178,274.67 = 74,757.68 : x
  2. Step 2: Convert to fraction form
    129,196.16/178,274.67 = 74,757.68/x
  3. Step 3: Cross multiply
    129,196.16x = 178,274.67 × 74,757.68
  4. Step 4: Simplify right side
    129,196.16x = 13,327,400,731.97
  5. Step 5: Solve for x
    x = 13,327,400,731.97/129,196.16
  6. Step 6: Final answer
    x = 103,156.32

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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.