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Finding the Fourth Proportional to 104,977.16, 144,863.22 and 59,649.16

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Solution

The fourth proportional to 104,977.16, 144,863.22 and 59,649.16 is: 82,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,977.16 : 144,863.22 = 59,649.16 : x
  2. Step 2: Convert to fraction form
    104,977.16/144,863.22 = 59,649.16/x
  3. Step 3: Cross multiply
    104,977.16x = 144,863.22 × 59,649.16
  4. Step 4: Simplify right side
    104,977.16x = 8,640,969,387.90
  5. Step 5: Solve for x
    x = 8,640,969,387.90/104,977.16
  6. Step 6: Final answer
    x = 82,312.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.