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Finding the Fourth Proportional to 129,029.40, 193,544.10 and 76,411.80

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Solution

The fourth proportional to 129,029.40, 193,544.10 and 76,411.80 is: 114,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,029.40 : 193,544.10 = 76,411.80 : x
  2. Step 2: Convert to fraction form
    129,029.40/193,544.10 = 76,411.80/x
  3. Step 3: Cross multiply
    129,029.40x = 193,544.10 × 76,411.80
  4. Step 4: Simplify right side
    129,029.40x = 14,789,053,060.38
  5. Step 5: Solve for x
    x = 14,789,053,060.38/129,029.40
  6. Step 6: Final answer
    x = 114,617.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.