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Finding the Fourth Proportional to 168,705.68, 232,806.75 and 99,839.78

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Solution

The fourth proportional to 168,705.68, 232,806.75 and 99,839.78 is: 137,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,705.68 : 232,806.75 = 99,839.78 : x
  2. Step 2: Convert to fraction form
    168,705.68/232,806.75 = 99,839.78/x
  3. Step 3: Cross multiply
    168,705.68x = 232,806.75 × 99,839.78
  4. Step 4: Simplify right side
    168,705.68x = 23,243,373,538.48
  5. Step 5: Solve for x
    x = 23,243,373,538.48/168,705.68
  6. Step 6: Final answer
    x = 137,774.70

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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.