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Finding the Fourth Proportional to 104,144.97, 143,719.77 and 56,398.30

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Solution

The fourth proportional to 104,144.97, 143,719.77 and 56,398.30 is: 77,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,144.97 : 143,719.77 = 56,398.30 : x
  2. Step 2: Convert to fraction form
    104,144.97/143,719.77 = 56,398.30/x
  3. Step 3: Cross multiply
    104,144.97x = 143,719.77 × 56,398.30
  4. Step 4: Simplify right side
    104,144.97x = 8,105,550,672.55
  5. Step 5: Solve for x
    x = 8,105,550,672.55/104,144.97
  6. Step 6: Final answer
    x = 77,829.50

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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.