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Finding the Fourth Proportional to 230,311.84, 317,965.20 and 150,962.08

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Solution

The fourth proportional to 230,311.84, 317,965.20 and 150,962.08 is: 208,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,311.84 : 317,965.20 = 150,962.08 : x
  2. Step 2: Convert to fraction form
    230,311.84/317,965.20 = 150,962.08/x
  3. Step 3: Cross multiply
    230,311.84x = 317,965.20 × 150,962.08
  4. Step 4: Simplify right side
    230,311.84x = 48,000,687,959.62
  5. Step 5: Solve for x
    x = 48,000,687,959.62/230,311.84
  6. Step 6: Final answer
    x = 208,416.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.