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Finding the Fourth Proportional to 129,223.68, 178,339.20 and 74,794.24

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Solution

The fourth proportional to 129,223.68, 178,339.20 and 74,794.24 is: 103,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,223.68 : 178,339.20 = 74,794.24 : x
  2. Step 2: Convert to fraction form
    129,223.68/178,339.20 = 74,794.24/x
  3. Step 3: Cross multiply
    129,223.68x = 178,339.20 × 74,794.24
  4. Step 4: Simplify right side
    129,223.68x = 13,338,744,926.21
  5. Step 5: Solve for x
    x = 13,338,744,926.21/129,223.68
  6. Step 6: Final answer
    x = 103,222.14

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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.