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Finding the Fourth Proportional to 238,213.80, 357,320.70 and 120,115.80

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Solution

The fourth proportional to 238,213.80, 357,320.70 and 120,115.80 is: 180,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,213.80 : 357,320.70 = 120,115.80 : x
  2. Step 2: Convert to fraction form
    238,213.80/357,320.70 = 120,115.80/x
  3. Step 3: Cross multiply
    238,213.80x = 357,320.70 × 120,115.80
  4. Step 4: Simplify right side
    238,213.80x = 42,919,861,737.06
  5. Step 5: Solve for x
    x = 42,919,861,737.06/238,213.80
  6. Step 6: Final answer
    x = 180,173.70

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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.