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Finding the Fourth Proportional to 231,868, 347,700.72 and 82,058.52

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Solution

The fourth proportional to 231,868, 347,700.72 and 82,058.52 is: 123,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,868 : 347,700.72 = 82,058.52 : x
  2. Step 2: Convert to fraction form
    231,868/347,700.72 = 82,058.52/x
  3. Step 3: Cross multiply
    231,868x = 347,700.72 × 82,058.52
  4. Step 4: Simplify right side
    231,868x = 28,531,806,486.13
  5. Step 5: Solve for x
    x = 28,531,806,486.13/231,868
  6. Step 6: Final answer
    x = 123,051.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.