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Finding the Fourth Proportional to 114,814, 172,223.38 and 41,781.46

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Solution

The fourth proportional to 114,814, 172,223.38 and 41,781.46 is: 62,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,814 : 172,223.38 = 41,781.46 : x
  2. Step 2: Convert to fraction form
    114,814/172,223.38 = 41,781.46/x
  3. Step 3: Cross multiply
    114,814x = 172,223.38 × 41,781.46
  4. Step 4: Simplify right side
    114,814x = 7,195,744,262.53
  5. Step 5: Solve for x
    x = 7,195,744,262.53/114,814
  6. Step 6: Final answer
    x = 62,673.06

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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.