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Finding the Fourth Proportional to 120,266.17, 180,348.42 and 36,038.32

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Solution

The fourth proportional to 120,266.17, 180,348.42 and 36,038.32 is: 54,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,266.17 : 180,348.42 = 36,038.32 : x
  2. Step 2: Convert to fraction form
    120,266.17/180,348.42 = 36,038.32/x
  3. Step 3: Cross multiply
    120,266.17x = 180,348.42 × 36,038.32
  4. Step 4: Simplify right side
    120,266.17x = 6,499,453,755.73
  5. Step 5: Solve for x
    x = 6,499,453,755.73/120,266.17
  6. Step 6: Final answer
    x = 54,042.25

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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.