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Finding the Fourth Proportional to 226,078.16, 311,991.82 and 124,113.20

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Solution

The fourth proportional to 226,078.16, 311,991.82 and 124,113.20 is: 171,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,078.16 : 311,991.82 = 124,113.20 : x
  2. Step 2: Convert to fraction form
    226,078.16/311,991.82 = 124,113.20/x
  3. Step 3: Cross multiply
    226,078.16x = 311,991.82 × 124,113.20
  4. Step 4: Simplify right side
    226,078.16x = 38,722,303,154.02
  5. Step 5: Solve for x
    x = 38,722,303,154.02/226,078.16
  6. Step 6: Final answer
    x = 171,278.39

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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.