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Finding the Fourth Proportional to 255,478.64, 352,571.40 and 142,301.44

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Solution

The fourth proportional to 255,478.64, 352,571.40 and 142,301.44 is: 196,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,478.64 : 352,571.40 = 142,301.44 : x
  2. Step 2: Convert to fraction form
    255,478.64/352,571.40 = 142,301.44/x
  3. Step 3: Cross multiply
    255,478.64x = 352,571.40 × 142,301.44
  4. Step 4: Simplify right side
    255,478.64x = 50,171,417,922.82
  5. Step 5: Solve for x
    x = 50,171,417,922.82/255,478.64
  6. Step 6: Final answer
    x = 196,382.05

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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.