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Finding the Fourth Proportional to 129,665.40, 178,760.70 and 81,894.84

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Solution

The fourth proportional to 129,665.40, 178,760.70 and 81,894.84 is: 112,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,665.40 : 178,760.70 = 81,894.84 : x
  2. Step 2: Convert to fraction form
    129,665.40/178,760.70 = 81,894.84/x
  3. Step 3: Cross multiply
    129,665.40x = 178,760.70 × 81,894.84
  4. Step 4: Simplify right side
    129,665.40x = 14,639,578,924.79
  5. Step 5: Solve for x
    x = 14,639,578,924.79/129,665.40
  6. Step 6: Final answer
    x = 112,902.74

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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.