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Finding the Fourth Proportional to 161,884, 242,767.67 and 68,397.04

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Solution

The fourth proportional to 161,884, 242,767.67 and 68,397.04 is: 102,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,884 : 242,767.67 = 68,397.04 : x
  2. Step 2: Convert to fraction form
    161,884/242,767.67 = 68,397.04/x
  3. Step 3: Cross multiply
    161,884x = 242,767.67 × 68,397.04
  4. Step 4: Simplify right side
    161,884x = 16,604,590,035.70
  5. Step 5: Solve for x
    x = 16,604,590,035.70/161,884
  6. Step 6: Final answer
    x = 102,570.92

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Why These Related Problems?

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