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Finding the Fourth Proportional to 256,220.70, 384,331.05 and 161,742.30

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Solution

The fourth proportional to 256,220.70, 384,331.05 and 161,742.30 is: 242,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,220.70 : 384,331.05 = 161,742.30 : x
  2. Step 2: Convert to fraction form
    256,220.70/384,331.05 = 161,742.30/x
  3. Step 3: Cross multiply
    256,220.70x = 384,331.05 × 161,742.30
  4. Step 4: Simplify right side
    256,220.70x = 62,162,587,988.42
  5. Step 5: Solve for x
    x = 62,162,587,988.42/256,220.70
  6. Step 6: Final answer
    x = 242,613.45

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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.