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Finding the Fourth Proportional to 168,705.11, 232,805.98 and 99,839.21

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Solution

The fourth proportional to 168,705.11, 232,805.98 and 99,839.21 is: 137,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,705.11 : 232,805.98 = 99,839.21 : x
  2. Step 2: Convert to fraction form
    168,705.11/232,805.98 = 99,839.21/x
  3. Step 3: Cross multiply
    168,705.11x = 232,805.98 × 99,839.21
  4. Step 4: Simplify right side
    168,705.11x = 23,243,165,458.89
  5. Step 5: Solve for x
    x = 23,243,165,458.89/168,705.11
  6. Step 6: Final answer
    x = 137,773.93

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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.