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Finding the Fourth Proportional to 255,106.88, 352,062.24 and 141,928.64

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Solution

The fourth proportional to 255,106.88, 352,062.24 and 141,928.64 is: 195,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,106.88 : 352,062.24 = 141,928.64 : x
  2. Step 2: Convert to fraction form
    255,106.88/352,062.24 = 141,928.64/x
  3. Step 3: Cross multiply
    255,106.88x = 352,062.24 × 141,928.64
  4. Step 4: Simplify right side
    255,106.88x = 49,967,714,918.55
  5. Step 5: Solve for x
    x = 49,967,714,918.55/255,106.88
  6. Step 6: Final answer
    x = 195,869.73

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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.