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Finding the Fourth Proportional to 233,171.92, 321,830.96 and 136,420.64

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Solution

The fourth proportional to 233,171.92, 321,830.96 and 136,420.64 is: 188,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,171.92 : 321,830.96 = 136,420.64 : x
  2. Step 2: Convert to fraction form
    233,171.92/321,830.96 = 136,420.64/x
  3. Step 3: Cross multiply
    233,171.92x = 321,830.96 × 136,420.64
  4. Step 4: Simplify right side
    233,171.92x = 43,904,385,535.01
  5. Step 5: Solve for x
    x = 43,904,385,535.01/233,171.92
  6. Step 6: Final answer
    x = 188,291.91

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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.