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Finding the Fourth Proportional to 178,195.76, 245,713.13 and 113,562.66

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Solution

The fourth proportional to 178,195.76, 245,713.13 and 113,562.66 is: 156,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,195.76 : 245,713.13 = 113,562.66 : x
  2. Step 2: Convert to fraction form
    178,195.76/245,713.13 = 113,562.66/x
  3. Step 3: Cross multiply
    178,195.76x = 245,713.13 × 113,562.66
  4. Step 4: Simplify right side
    178,195.76x = 27,903,836,639.73
  5. Step 5: Solve for x
    x = 27,903,836,639.73/178,195.76
  6. Step 6: Final answer
    x = 156,590.91

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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.