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Finding the Fourth Proportional to 178,143.17, 245,832.84 and 101,660.85

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Solution

The fourth proportional to 178,143.17, 245,832.84 and 101,660.85 is: 140,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,143.17 : 245,832.84 = 101,660.85 : x
  2. Step 2: Convert to fraction form
    178,143.17/245,832.84 = 101,660.85/x
  3. Step 3: Cross multiply
    178,143.17x = 245,832.84 × 101,660.85
  4. Step 4: Simplify right side
    178,143.17x = 24,991,575,472.31
  5. Step 5: Solve for x
    x = 24,991,575,472.31/178,143.17
  6. Step 6: Final answer
    x = 140,289.28

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1.5x scale

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.