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Finding the Fourth Proportional to 128,257.38, 176,880.18 and 106,818.30

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Solution

The fourth proportional to 128,257.38, 176,880.18 and 106,818.30 is: 147,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,257.38 : 176,880.18 = 106,818.30 : x
  2. Step 2: Convert to fraction form
    128,257.38/176,880.18 = 106,818.30/x
  3. Step 3: Cross multiply
    128,257.38x = 176,880.18 × 106,818.30
  4. Step 4: Simplify right side
    128,257.38x = 18,894,040,131.29
  5. Step 5: Solve for x
    x = 18,894,040,131.29/128,257.38
  6. Step 6: Final answer
    x = 147,313.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.