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Finding the Fourth Proportional to 257,034.78, 354,747.17 and 160,254.33

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Solution

The fourth proportional to 257,034.78, 354,747.17 and 160,254.33 is: 221,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,034.78 : 354,747.17 = 160,254.33 : x
  2. Step 2: Convert to fraction form
    257,034.78/354,747.17 = 160,254.33/x
  3. Step 3: Cross multiply
    257,034.78x = 354,747.17 × 160,254.33
  4. Step 4: Simplify right side
    257,034.78x = 56,849,770,047.75
  5. Step 5: Solve for x
    x = 56,849,770,047.75/257,034.78
  6. Step 6: Final answer
    x = 221,175.40

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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.