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Finding the Fourth Proportional to 257,036.31, 354,714.81 and 143,858.79

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Solution

The fourth proportional to 257,036.31, 354,714.81 and 143,858.79 is: 198,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,036.31 : 354,714.81 = 143,858.79 : x
  2. Step 2: Convert to fraction form
    257,036.31/354,714.81 = 143,858.79/x
  3. Step 3: Cross multiply
    257,036.31x = 354,714.81 × 143,858.79
  4. Step 4: Simplify right side
    257,036.31x = 51,028,843,361.68
  5. Step 5: Solve for x
    x = 51,028,843,361.68/257,036.31
  6. Step 6: Final answer
    x = 198,527.76

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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.