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Finding the Fourth Proportional to 120,878.76, 181,319.76 and 32,131.80

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Solution

The fourth proportional to 120,878.76, 181,319.76 and 32,131.80 is: 48,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,878.76 : 181,319.76 = 32,131.80 : x
  2. Step 2: Convert to fraction form
    120,878.76/181,319.76 = 32,131.80/x
  3. Step 3: Cross multiply
    120,878.76x = 181,319.76 × 32,131.80
  4. Step 4: Simplify right side
    120,878.76x = 5,826,130,264.37
  5. Step 5: Solve for x
    x = 5,826,130,264.37/120,878.76
  6. Step 6: Final answer
    x = 48,198.13

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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.