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Finding the Fourth Proportional to 136,702.20, 205,082.10 and 57,775.80

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Solution

The fourth proportional to 136,702.20, 205,082.10 and 57,775.80 is: 86,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,702.20 : 205,082.10 = 57,775.80 : x
  2. Step 2: Convert to fraction form
    136,702.20/205,082.10 = 57,775.80/x
  3. Step 3: Cross multiply
    136,702.20x = 205,082.10 × 57,775.80
  4. Step 4: Simplify right side
    136,702.20x = 11,848,782,393.18
  5. Step 5: Solve for x
    x = 11,848,782,393.18/136,702.20
  6. Step 6: Final answer
    x = 86,675.87

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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.