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Finding the Fourth Proportional to 103,997.93, 143,478.65 and 68,207.81

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Solution

The fourth proportional to 103,997.93, 143,478.65 and 68,207.81 is: 94,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,997.93 : 143,478.65 = 68,207.81 : x
  2. Step 2: Convert to fraction form
    103,997.93/143,478.65 = 68,207.81/x
  3. Step 3: Cross multiply
    103,997.93x = 143,478.65 × 68,207.81
  4. Step 4: Simplify right side
    103,997.93x = 9,786,363,951.38
  5. Step 5: Solve for x
    x = 9,786,363,951.38/103,997.93
  6. Step 6: Final answer
    x = 94,101.53

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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.