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Finding the Fourth Proportional to 168,122.14, 232,012.97 and 103,634

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Solution

The fourth proportional to 168,122.14, 232,012.97 and 103,634 is: 143,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,122.14 : 232,012.97 = 103,634 : x
  2. Step 2: Convert to fraction form
    168,122.14/232,012.97 = 103,634/x
  3. Step 3: Cross multiply
    168,122.14x = 232,012.97 × 103,634
  4. Step 4: Simplify right side
    168,122.14x = 24,044,432,132.98
  5. Step 5: Solve for x
    x = 24,044,432,132.98/168,122.14
  6. Step 6: Final answer
    x = 143,017.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.