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Finding the Fourth Proportional to 128,144.40, 176,920.56 and 82,844.16

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Solution

The fourth proportional to 128,144.40, 176,920.56 and 82,844.16 is: 114,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,144.40 : 176,920.56 = 82,844.16 : x
  2. Step 2: Convert to fraction form
    128,144.40/176,920.56 = 82,844.16/x
  3. Step 3: Cross multiply
    128,144.40x = 176,920.56 × 82,844.16
  4. Step 4: Simplify right side
    128,144.40x = 14,656,835,179.93
  5. Step 5: Solve for x
    x = 14,656,835,179.93/128,144.40
  6. Step 6: Final answer
    x = 114,377.49

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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.