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Finding the Fourth Proportional to 120,701.20, 181,138.20 and 68,054.80

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Solution

The fourth proportional to 120,701.20, 181,138.20 and 68,054.80 is: 102,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,701.20 : 181,138.20 = 68,054.80 : x
  2. Step 2: Convert to fraction form
    120,701.20/181,138.20 = 68,054.80/x
  3. Step 3: Cross multiply
    120,701.20x = 181,138.20 × 68,054.80
  4. Step 4: Simplify right side
    120,701.20x = 12,327,323,973.36
  5. Step 5: Solve for x
    x = 12,327,323,973.36/120,701.20
  6. Step 6: Final answer
    x = 102,130.91

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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.