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Finding the Fourth Proportional to 213,577.80, 320,342.40 and 55,822.20

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Solution

The fourth proportional to 213,577.80, 320,342.40 and 55,822.20 is: 83,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,577.80 : 320,342.40 = 55,822.20 : x
  2. Step 2: Convert to fraction form
    213,577.80/320,342.40 = 55,822.20/x
  3. Step 3: Cross multiply
    213,577.80x = 320,342.40 × 55,822.20
  4. Step 4: Simplify right side
    213,577.80x = 17,882,217,521.28
  5. Step 5: Solve for x
    x = 17,882,217,521.28/213,577.80
  6. Step 6: Final answer
    x = 83,726.95

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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.