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Finding the Fourth Proportional to 257,176.59, 354,891.36 and 142,447.47

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Solution

The fourth proportional to 257,176.59, 354,891.36 and 142,447.47 is: 196,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,176.59 : 354,891.36 = 142,447.47 : x
  2. Step 2: Convert to fraction form
    257,176.59/354,891.36 = 142,447.47/x
  3. Step 3: Cross multiply
    257,176.59x = 354,891.36 × 142,447.47
  4. Step 4: Simplify right side
    257,176.59x = 50,553,376,356.86
  5. Step 5: Solve for x
    x = 50,553,376,356.86/257,176.59
  6. Step 6: Final answer
    x = 196,570.68

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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.