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Finding the Fourth Proportional to 233,761.59, 322,644.65 and 143,167.47

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Solution

The fourth proportional to 233,761.59, 322,644.65 and 143,167.47 is: 197,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,761.59 : 322,644.65 = 143,167.47 : x
  2. Step 2: Convert to fraction form
    233,761.59/322,644.65 = 143,167.47/x
  3. Step 3: Cross multiply
    233,761.59x = 322,644.65 × 143,167.47
  4. Step 4: Simplify right side
    233,761.59x = 46,192,217,533.70
  5. Step 5: Solve for x
    x = 46,192,217,533.70/233,761.59
  6. Step 6: Final answer
    x = 197,603.97

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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.