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Finding the Fourth Proportional to 104,894.48, 144,753.72 and 57,149.84

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Solution

The fourth proportional to 104,894.48, 144,753.72 and 57,149.84 is: 78,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,894.48 : 144,753.72 = 57,149.84 : x
  2. Step 2: Convert to fraction form
    104,894.48/144,753.72 = 57,149.84/x
  3. Step 3: Cross multiply
    104,894.48x = 144,753.72 × 57,149.84
  4. Step 4: Simplify right side
    104,894.48x = 8,272,651,937.40
  5. Step 5: Solve for x
    x = 8,272,651,937.40/104,894.48
  6. Step 6: Final answer
    x = 78,866.42

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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.