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Finding the Fourth Proportional to 109,201.80, 163,808.10 and 56,713.80

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Solution

The fourth proportional to 109,201.80, 163,808.10 and 56,713.80 is: 85,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,201.80 : 163,808.10 = 56,713.80 : x
  2. Step 2: Convert to fraction form
    109,201.80/163,808.10 = 56,713.80/x
  3. Step 3: Cross multiply
    109,201.80x = 163,808.10 × 56,713.80
  4. Step 4: Simplify right side
    109,201.80x = 9,290,179,821.78
  5. Step 5: Solve for x
    x = 9,290,179,821.78/109,201.80
  6. Step 6: Final answer
    x = 85,073.50

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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.