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Finding the Fourth Proportional to 178,463.67, 246,275.42 and 101,977.90

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Solution

The fourth proportional to 178,463.67, 246,275.42 and 101,977.90 is: 140,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,463.67 : 246,275.42 = 101,977.90 : x
  2. Step 2: Convert to fraction form
    178,463.67/246,275.42 = 101,977.90/x
  3. Step 3: Cross multiply
    178,463.67x = 246,275.42 × 101,977.90
  4. Step 4: Simplify right side
    178,463.67x = 25,114,650,153.22
  5. Step 5: Solve for x
    x = 25,114,650,153.22/178,463.67
  6. Step 6: Final answer
    x = 140,726.96

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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.