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Finding the Fourth Proportional to 178,256.73, 245,970.90 and 106,610.61

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Solution

The fourth proportional to 178,256.73, 245,970.90 and 106,610.61 is: 147,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,256.73 : 245,970.90 = 106,610.61 : x
  2. Step 2: Convert to fraction form
    178,256.73/245,970.90 = 106,610.61/x
  3. Step 3: Cross multiply
    178,256.73x = 245,970.90 × 106,610.61
  4. Step 4: Simplify right side
    178,256.73x = 26,223,107,691.25
  5. Step 5: Solve for x
    x = 26,223,107,691.25/178,256.73
  6. Step 6: Final answer
    x = 147,108.65

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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.