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Finding the Fourth Proportional to 257,096.34, 354,750.77 and 161,535.38

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Solution

The fourth proportional to 257,096.34, 354,750.77 and 161,535.38 is: 222,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,096.34 : 354,750.77 = 161,535.38 : x
  2. Step 2: Convert to fraction form
    257,096.34/354,750.77 = 161,535.38/x
  3. Step 3: Cross multiply
    257,096.34x = 354,750.77 × 161,535.38
  4. Step 4: Simplify right side
    257,096.34x = 57,304,799,067.33
  5. Step 5: Solve for x
    x = 57,304,799,067.33/257,096.34
  6. Step 6: Final answer
    x = 222,892.32

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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.