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Finding the Fourth Proportional to 257,660.60, 355,572.04 and 142,939.24

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Solution

The fourth proportional to 257,660.60, 355,572.04 and 142,939.24 is: 197,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,660.60 : 355,572.04 = 142,939.24 : x
  2. Step 2: Convert to fraction form
    257,660.60/355,572.04 = 142,939.24/x
  3. Step 3: Cross multiply
    257,660.60x = 355,572.04 × 142,939.24
  4. Step 4: Simplify right side
    257,660.60x = 50,825,197,885.66
  5. Step 5: Solve for x
    x = 50,825,197,885.66/257,660.60
  6. Step 6: Final answer
    x = 197,256.39

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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.