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Finding the Fourth Proportional to 256,121.67, 353,494.17 and 152,762.49

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Solution

The fourth proportional to 256,121.67, 353,494.17 and 152,762.49 is: 210,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,121.67 : 353,494.17 = 152,762.49 : x
  2. Step 2: Convert to fraction form
    256,121.67/353,494.17 = 152,762.49/x
  3. Step 3: Cross multiply
    256,121.67x = 353,494.17 × 152,762.49
  4. Step 4: Simplify right side
    256,121.67x = 54,000,649,609.68
  5. Step 5: Solve for x
    x = 54,000,649,609.68/256,121.67
  6. Step 6: Final answer
    x = 210,839.83

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1.5x scale

Why These Related Problems?

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