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Finding the Fourth Proportional to 255,713.66, 352,889.49 and 142,524.26

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Solution

The fourth proportional to 255,713.66, 352,889.49 and 142,524.26 is: 196,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,713.66 : 352,889.49 = 142,524.26 : x
  2. Step 2: Convert to fraction form
    255,713.66/352,889.49 = 142,524.26/x
  3. Step 3: Cross multiply
    255,713.66x = 352,889.49 × 142,524.26
  4. Step 4: Simplify right side
    255,713.66x = 50,295,313,424.03
  5. Step 5: Solve for x
    x = 50,295,313,424.03/255,713.66
  6. Step 6: Final answer
    x = 196,686.06

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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.