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Finding the Fourth Proportional to 233,985.72, 322,770.24 and 143,327.28

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Solution

The fourth proportional to 233,985.72, 322,770.24 and 143,327.28 is: 197,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,985.72 : 322,770.24 = 143,327.28 : x
  2. Step 2: Convert to fraction form
    233,985.72/322,770.24 = 143,327.28/x
  3. Step 3: Cross multiply
    233,985.72x = 322,770.24 × 143,327.28
  4. Step 4: Simplify right side
    233,985.72x = 46,261,780,564.15
  5. Step 5: Solve for x
    x = 46,261,780,564.15/233,985.72
  6. Step 6: Final answer
    x = 197,711.98

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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.