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Finding the Fourth Proportional to 120,444.84, 180,631.26 and 36,182.46

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Solution

The fourth proportional to 120,444.84, 180,631.26 and 36,182.46 is: 54,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,444.84 : 180,631.26 = 36,182.46 : x
  2. Step 2: Convert to fraction form
    120,444.84/180,631.26 = 36,182.46/x
  3. Step 3: Cross multiply
    120,444.84x = 180,631.26 × 36,182.46
  4. Step 4: Simplify right side
    120,444.84x = 6,535,684,017.07
  5. Step 5: Solve for x
    x = 6,535,684,017.07/120,444.84
  6. Step 6: Final answer
    x = 54,262.88

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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.