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Finding the Fourth Proportional to 223,942.13, 309,040.13 and 123,340.13

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Solution

The fourth proportional to 223,942.13, 309,040.13 and 123,340.13 is: 170,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,942.13 : 309,040.13 = 123,340.13 : x
  2. Step 2: Convert to fraction form
    223,942.13/309,040.13 = 123,340.13/x
  3. Step 3: Cross multiply
    223,942.13x = 309,040.13 × 123,340.13
  4. Step 4: Simplify right side
    223,942.13x = 38,117,048,572.57
  5. Step 5: Solve for x
    x = 38,117,048,572.57/223,942.13
  6. Step 6: Final answer
    x = 170,209.37

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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.