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Finding the Fourth Proportional to 128,258.38, 176,881.56 and 106,819.30

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Solution

The fourth proportional to 128,258.38, 176,881.56 and 106,819.30 is: 147,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,258.38 : 176,881.56 = 106,819.30 : x
  2. Step 2: Convert to fraction form
    128,258.38/176,881.56 = 106,819.30/x
  3. Step 3: Cross multiply
    128,258.38x = 176,881.56 × 106,819.30
  4. Step 4: Simplify right side
    128,258.38x = 18,894,364,422.11
  5. Step 5: Solve for x
    x = 18,894,364,422.11/128,258.38
  6. Step 6: Final answer
    x = 147,314.85

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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.