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Finding the Fourth Proportional to 224,620.94, 309,974.52 and 122,646.08

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Solution

The fourth proportional to 224,620.94, 309,974.52 and 122,646.08 is: 169,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,620.94 : 309,974.52 = 122,646.08 : x
  2. Step 2: Convert to fraction form
    224,620.94/309,974.52 = 122,646.08/x
  3. Step 3: Cross multiply
    224,620.94x = 309,974.52 × 122,646.08
  4. Step 4: Simplify right side
    224,620.94x = 38,017,159,777.88
  5. Step 5: Solve for x
    x = 38,017,159,777.88/224,620.94
  6. Step 6: Final answer
    x = 169,250.29

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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.