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Finding the Fourth Proportional to 114,906.20, 172,359.30 and 85,381.70

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Solution

The fourth proportional to 114,906.20, 172,359.30 and 85,381.70 is: 128,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,906.20 : 172,359.30 = 85,381.70 : x
  2. Step 2: Convert to fraction form
    114,906.20/172,359.30 = 85,381.70/x
  3. Step 3: Cross multiply
    114,906.20x = 172,359.30 × 85,381.70
  4. Step 4: Simplify right side
    114,906.20x = 14,716,330,044.81
  5. Step 5: Solve for x
    x = 14,716,330,044.81/114,906.20
  6. Step 6: Final answer
    x = 128,072.55

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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.