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Finding the Fourth Proportional to 257,128.86, 354,833.92 and 143,955.66

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Solution

The fourth proportional to 257,128.86, 354,833.92 and 143,955.66 is: 198,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,128.86 : 354,833.92 = 143,955.66 : x
  2. Step 2: Convert to fraction form
    257,128.86/354,833.92 = 143,955.66/x
  3. Step 3: Cross multiply
    257,128.86x = 354,833.92 × 143,955.66
  4. Step 4: Simplify right side
    257,128.86x = 51,080,351,143.99
  5. Step 5: Solve for x
    x = 51,080,351,143.99/257,128.86
  6. Step 6: Final answer
    x = 198,656.62

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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.