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Finding the Fourth Proportional to 256,220.40, 384,100.20 and 167,516.40

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Solution

The fourth proportional to 256,220.40, 384,100.20 and 167,516.40 is: 251,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,220.40 : 384,100.20 = 167,516.40 : x
  2. Step 2: Convert to fraction form
    256,220.40/384,100.20 = 167,516.40/x
  3. Step 3: Cross multiply
    256,220.40x = 384,100.20 × 167,516.40
  4. Step 4: Simplify right side
    256,220.40x = 64,343,082,743.28
  5. Step 5: Solve for x
    x = 64,343,082,743.28/256,220.40
  6. Step 6: Final answer
    x = 251,123.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.