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Finding the Fourth Proportional to 120,841.60, 181,262.40 and 85,412.20

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Solution

The fourth proportional to 120,841.60, 181,262.40 and 85,412.20 is: 128,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,841.60 : 181,262.40 = 85,412.20 : x
  2. Step 2: Convert to fraction form
    120,841.60/181,262.40 = 85,412.20/x
  3. Step 3: Cross multiply
    120,841.60x = 181,262.40 × 85,412.20
  4. Step 4: Simplify right side
    120,841.60x = 15,482,020,361.28
  5. Step 5: Solve for x
    x = 15,482,020,361.28/120,841.60
  6. Step 6: Final answer
    x = 128,118.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.