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Finding the Fourth Proportional to 257,151.64, 354,865.30 and 143,978.44

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Solution

The fourth proportional to 257,151.64, 354,865.30 and 143,978.44 is: 198,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,151.64 : 354,865.30 = 143,978.44 : x
  2. Step 2: Convert to fraction form
    257,151.64/354,865.30 = 143,978.44/x
  3. Step 3: Cross multiply
    257,151.64x = 354,865.30 × 143,978.44
  4. Step 4: Simplify right side
    257,151.64x = 51,092,952,304.13
  5. Step 5: Solve for x
    x = 51,092,952,304.13/257,151.64
  6. Step 6: Final answer
    x = 198,688.03

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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.