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Finding the Fourth Proportional to 172,042.60, 257,553.60 and 127,865.20

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Solution

The fourth proportional to 172,042.60, 257,553.60 and 127,865.20 is: 191,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,042.60 : 257,553.60 = 127,865.20 : x
  2. Step 2: Convert to fraction form
    172,042.60/257,553.60 = 127,865.20/x
  3. Step 3: Cross multiply
    172,042.60x = 257,553.60 × 127,865.20
  4. Step 4: Simplify right side
    172,042.60x = 32,932,142,574.72
  5. Step 5: Solve for x
    x = 32,932,142,574.72/172,042.60
  6. Step 6: Final answer
    x = 191,418.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.