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Finding the Fourth Proportional to 120,832.20, 180,902.70 and 117,376.20

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Solution

The fourth proportional to 120,832.20, 180,902.70 and 117,376.20 is: 175,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,832.20 : 180,902.70 = 117,376.20 : x
  2. Step 2: Convert to fraction form
    120,832.20/180,902.70 = 117,376.20/x
  3. Step 3: Cross multiply
    120,832.20x = 180,902.70 × 117,376.20
  4. Step 4: Simplify right side
    120,832.20x = 21,233,671,495.74
  5. Step 5: Solve for x
    x = 21,233,671,495.74/120,832.20
  6. Step 6: Final answer
    x = 175,728.58

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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.