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Finding the Fourth Proportional to 142,610.92, 213,895.90 and 44,102.12

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Solution

The fourth proportional to 142,610.92, 213,895.90 and 44,102.12 is: 66,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,610.92 : 213,895.90 = 44,102.12 : x
  2. Step 2: Convert to fraction form
    142,610.92/213,895.90 = 44,102.12/x
  3. Step 3: Cross multiply
    142,610.92x = 213,895.90 × 44,102.12
  4. Step 4: Simplify right side
    142,610.92x = 9,433,262,649.31
  5. Step 5: Solve for x
    x = 9,433,262,649.31/142,610.92
  6. Step 6: Final answer
    x = 66,146.85

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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.