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Finding the Fourth Proportional to 110,978.80, 166,468.20 and 48,649.30

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Solution

The fourth proportional to 110,978.80, 166,468.20 and 48,649.30 is: 72,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,978.80 : 166,468.20 = 48,649.30 : x
  2. Step 2: Convert to fraction form
    110,978.80/166,468.20 = 48,649.30/x
  3. Step 3: Cross multiply
    110,978.80x = 166,468.20 × 48,649.30
  4. Step 4: Simplify right side
    110,978.80x = 8,098,561,402.26
  5. Step 5: Solve for x
    x = 8,098,561,402.26/110,978.80
  6. Step 6: Final answer
    x = 72,973.95

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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.