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Finding the Fourth Proportional to 140,765.01, 194,255.76 and 77,105.10

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Solution

The fourth proportional to 140,765.01, 194,255.76 and 77,105.10 is: 106,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,765.01 : 194,255.76 = 77,105.10 : x
  2. Step 2: Convert to fraction form
    140,765.01/194,255.76 = 77,105.10/x
  3. Step 3: Cross multiply
    140,765.01x = 194,255.76 × 77,105.10
  4. Step 4: Simplify right side
    140,765.01x = 14,978,109,800.38
  5. Step 5: Solve for x
    x = 14,978,109,800.38/140,765.01
  6. Step 6: Final answer
    x = 106,405.06

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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.