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Finding the Fourth Proportional to 168,834.84, 233,003.70 and 97,233.72

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Solution

The fourth proportional to 168,834.84, 233,003.70 and 97,233.72 is: 134,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,834.84 : 233,003.70 = 97,233.72 : x
  2. Step 2: Convert to fraction form
    168,834.84/233,003.70 = 97,233.72/x
  3. Step 3: Cross multiply
    168,834.84x = 233,003.70 × 97,233.72
  4. Step 4: Simplify right side
    168,834.84x = 22,655,816,524.76
  5. Step 5: Solve for x
    x = 22,655,816,524.76/168,834.84
  6. Step 6: Final answer
    x = 134,189.23

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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.