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Finding the Fourth Proportional to 101,561.40, 152,082.90 and 80,825.40

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Solution

The fourth proportional to 101,561.40, 152,082.90 and 80,825.40 is: 121,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,561.40 : 152,082.90 = 80,825.40 : x
  2. Step 2: Convert to fraction form
    101,561.40/152,082.90 = 80,825.40/x
  3. Step 3: Cross multiply
    101,561.40x = 152,082.90 × 80,825.40
  4. Step 4: Simplify right side
    101,561.40x = 12,292,161,225.66
  5. Step 5: Solve for x
    x = 12,292,161,225.66/101,561.40
  6. Step 6: Final answer
    x = 121,031.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.