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Finding the Fourth Proportional to 95,857.20, 143,677.80 and 45,961.20

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Solution

The fourth proportional to 95,857.20, 143,677.80 and 45,961.20 is: 68,890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,857.20 : 143,677.80 = 45,961.20 : x
  2. Step 2: Convert to fraction form
    95,857.20/143,677.80 = 45,961.20/x
  3. Step 3: Cross multiply
    95,857.20x = 143,677.80 × 45,961.20
  4. Step 4: Simplify right side
    95,857.20x = 6,603,604,101.36
  5. Step 5: Solve for x
    x = 6,603,604,101.36/95,857.20
  6. Step 6: Final answer
    x = 68,890.02

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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.