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Finding the Fourth Proportional to 101,447.54, 152,046.67 and 56,980.82

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Solution

The fourth proportional to 101,447.54, 152,046.67 and 56,980.82 is: 85,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,447.54 : 152,046.67 = 56,980.82 : x
  2. Step 2: Convert to fraction form
    101,447.54/152,046.67 = 56,980.82/x
  3. Step 3: Cross multiply
    101,447.54x = 152,046.67 × 56,980.82
  4. Step 4: Simplify right side
    101,447.54x = 8,663,743,934.87
  5. Step 5: Solve for x
    x = 8,663,743,934.87/101,447.54
  6. Step 6: Final answer
    x = 85,401.22

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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.