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Finding the Fourth Proportional to 140,597.17, 194,024.11 and 76,934.97

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Solution

The fourth proportional to 140,597.17, 194,024.11 and 76,934.97 is: 106,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,597.17 : 194,024.11 = 76,934.97 : x
  2. Step 2: Convert to fraction form
    140,597.17/194,024.11 = 76,934.97/x
  3. Step 3: Cross multiply
    140,597.17x = 194,024.11 × 76,934.97
  4. Step 4: Simplify right side
    140,597.17x = 14,927,239,082.13
  5. Step 5: Solve for x
    x = 14,927,239,082.13/140,597.17
  6. Step 6: Final answer
    x = 106,170.27

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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.