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Finding the Fourth Proportional to 256,164.55, 353,512.70 and 141,442.89

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Solution

The fourth proportional to 256,164.55, 353,512.70 and 141,442.89 is: 195,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,164.55 : 353,512.70 = 141,442.89 : x
  2. Step 2: Convert to fraction form
    256,164.55/353,512.70 = 141,442.89/x
  3. Step 3: Cross multiply
    256,164.55x = 353,512.70 × 141,442.89
  4. Step 4: Simplify right side
    256,164.55x = 50,001,857,939.70
  5. Step 5: Solve for x
    x = 50,001,857,939.70/256,164.55
  6. Step 6: Final answer
    x = 195,194.29

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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.