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Finding the Fourth Proportional to 129,017.60, 178,013.13 and 75,271.94

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Solution

The fourth proportional to 129,017.60, 178,013.13 and 75,271.94 is: 103,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,017.60 : 178,013.13 = 75,271.94 : x
  2. Step 2: Convert to fraction form
    129,017.60/178,013.13 = 75,271.94/x
  3. Step 3: Cross multiply
    129,017.60x = 178,013.13 × 75,271.94
  4. Step 4: Simplify right side
    129,017.60x = 13,399,393,640.57
  5. Step 5: Solve for x
    x = 13,399,393,640.57/129,017.60
  6. Step 6: Final answer
    x = 103,857.10

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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.