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Finding the Fourth Proportional to 257,109.84, 354,791.88 and 143,917.20

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Solution

The fourth proportional to 257,109.84, 354,791.88 and 143,917.20 is: 198,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,109.84 : 354,791.88 = 143,917.20 : x
  2. Step 2: Convert to fraction form
    257,109.84/354,791.88 = 143,917.20/x
  3. Step 3: Cross multiply
    257,109.84x = 354,791.88 × 143,917.20
  4. Step 4: Simplify right side
    257,109.84x = 51,060,653,952.34
  5. Step 5: Solve for x
    x = 51,060,653,952.34/257,109.84
  6. Step 6: Final answer
    x = 198,594.71

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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.