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Finding the Fourth Proportional to 120,744.40, 181,116.60 and 76,421.20

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Solution

The fourth proportional to 120,744.40, 181,116.60 and 76,421.20 is: 114,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,744.40 : 181,116.60 = 76,421.20 : x
  2. Step 2: Convert to fraction form
    120,744.40/181,116.60 = 76,421.20/x
  3. Step 3: Cross multiply
    120,744.40x = 181,116.60 × 76,421.20
  4. Step 4: Simplify right side
    120,744.40x = 13,841,147,911.92
  5. Step 5: Solve for x
    x = 13,841,147,911.92/120,744.40
  6. Step 6: Final answer
    x = 114,631.80

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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.