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Finding the Fourth Proportional to 226,985.20, 340,477.80 and 77,264.80

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Solution

The fourth proportional to 226,985.20, 340,477.80 and 77,264.80 is: 115,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,985.20 : 340,477.80 = 77,264.80 : x
  2. Step 2: Convert to fraction form
    226,985.20/340,477.80 = 77,264.80/x
  3. Step 3: Cross multiply
    226,985.20x = 340,477.80 × 77,264.80
  4. Step 4: Simplify right side
    226,985.20x = 26,306,949,121.44
  5. Step 5: Solve for x
    x = 26,306,949,121.44/226,985.20
  6. Step 6: Final answer
    x = 115,897.20

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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.