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Finding the Fourth Proportional to 101,849.90, 140,546.30 and 56,527.90

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Solution

The fourth proportional to 101,849.90, 140,546.30 and 56,527.90 is: 78,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,849.90 : 140,546.30 = 56,527.90 : x
  2. Step 2: Convert to fraction form
    101,849.90/140,546.30 = 56,527.90/x
  3. Step 3: Cross multiply
    101,849.90x = 140,546.30 × 56,527.90
  4. Step 4: Simplify right side
    101,849.90x = 7,944,786,557.76
  5. Step 5: Solve for x
    x = 7,944,786,557.76/101,849.90
  6. Step 6: Final answer
    x = 78,004.86

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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.