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Finding the Fourth Proportional to 295,939.20, 408,371.40 and 166,870.38

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Solution

The fourth proportional to 295,939.20, 408,371.40 and 166,870.38 is: 230,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,939.20 : 408,371.40 = 166,870.38 : x
  2. Step 2: Convert to fraction form
    295,939.20/408,371.40 = 166,870.38/x
  3. Step 3: Cross multiply
    295,939.20x = 408,371.40 × 166,870.38
  4. Step 4: Simplify right side
    295,939.20x = 68,145,090,699.13
  5. Step 5: Solve for x
    x = 68,145,090,699.13/295,939.20
  6. Step 6: Final answer
    x = 230,267.20

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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.