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Finding the Fourth Proportional to 120,873.60, 181,310.40 and 32,140.80

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Solution

The fourth proportional to 120,873.60, 181,310.40 and 32,140.80 is: 48,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,873.60 : 181,310.40 = 32,140.80 : x
  2. Step 2: Convert to fraction form
    120,873.60/181,310.40 = 32,140.80/x
  3. Step 3: Cross multiply
    120,873.60x = 181,310.40 × 32,140.80
  4. Step 4: Simplify right side
    120,873.60x = 5,827,461,304.32
  5. Step 5: Solve for x
    x = 5,827,461,304.32/120,873.60
  6. Step 6: Final answer
    x = 48,211.20

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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.