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Finding the Fourth Proportional to 227,002.80, 340,540.92 and 77,256.48

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Solution

The fourth proportional to 227,002.80, 340,540.92 and 77,256.48 is: 115,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,002.80 : 340,540.92 = 77,256.48 : x
  2. Step 2: Convert to fraction form
    227,002.80/340,540.92 = 77,256.48/x
  3. Step 3: Cross multiply
    227,002.80x = 340,540.92 × 77,256.48
  4. Step 4: Simplify right side
    227,002.80x = 26,308,992,775.16
  5. Step 5: Solve for x
    x = 26,308,992,775.16/227,002.80
  6. Step 6: Final answer
    x = 115,897.22

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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.