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Finding the Fourth Proportional to 140,960.74, 194,528.49 and 77,294.74

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Solution

The fourth proportional to 140,960.74, 194,528.49 and 77,294.74 is: 106,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,960.74 : 194,528.49 = 77,294.74 : x
  2. Step 2: Convert to fraction form
    140,960.74/194,528.49 = 77,294.74/x
  3. Step 3: Cross multiply
    140,960.74x = 194,528.49 × 77,294.74
  4. Step 4: Simplify right side
    140,960.74x = 15,036,029,057.14
  5. Step 5: Solve for x
    x = 15,036,029,057.14/140,960.74
  6. Step 6: Final answer
    x = 106,668.20

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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.