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Finding the Fourth Proportional to 257,188.24, 354,922.32 and 142,470.28

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Solution

The fourth proportional to 257,188.24, 354,922.32 and 142,470.28 is: 196,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,188.24 : 354,922.32 = 142,470.28 : x
  2. Step 2: Convert to fraction form
    257,188.24/354,922.32 = 142,470.28/x
  3. Step 3: Cross multiply
    257,188.24x = 354,922.32 × 142,470.28
  4. Step 4: Simplify right side
    257,188.24x = 50,565,882,308.65
  5. Step 5: Solve for x
    x = 50,565,882,308.65/257,188.24
  6. Step 6: Final answer
    x = 196,610.40

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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.