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Finding the Fourth Proportional to 178,168.52, 245,804.12 and 101,691.86

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Solution

The fourth proportional to 178,168.52, 245,804.12 and 101,691.86 is: 140,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,168.52 : 245,804.12 = 101,691.86 : x
  2. Step 2: Convert to fraction form
    178,168.52/245,804.12 = 101,691.86/x
  3. Step 3: Cross multiply
    178,168.52x = 245,804.12 × 101,691.86
  4. Step 4: Simplify right side
    178,168.52x = 24,996,278,158.46
  5. Step 5: Solve for x
    x = 24,996,278,158.46/178,168.52
  6. Step 6: Final answer
    x = 140,295.71

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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.