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Finding the Fourth Proportional to 105,282, 157,933.62 and 34,201.68

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Solution

The fourth proportional to 105,282, 157,933.62 and 34,201.68 is: 51,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,282 : 157,933.62 = 34,201.68 : x
  2. Step 2: Convert to fraction form
    105,282/157,933.62 = 34,201.68/x
  3. Step 3: Cross multiply
    105,282x = 157,933.62 × 34,201.68
  4. Step 4: Simplify right side
    105,282x = 5,401,595,132.48
  5. Step 5: Solve for x
    x = 5,401,595,132.48/105,282
  6. Step 6: Final answer
    x = 51,305.97

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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.