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Finding the Fourth Proportional to 201,132.43, 301,698.34 and 51,372.68

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Solution

The fourth proportional to 201,132.43, 301,698.34 and 51,372.68 is: 77,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,132.43 : 301,698.34 = 51,372.68 : x
  2. Step 2: Convert to fraction form
    201,132.43/301,698.34 = 51,372.68/x
  3. Step 3: Cross multiply
    201,132.43x = 301,698.34 × 51,372.68
  4. Step 4: Simplify right side
    201,132.43x = 15,499,052,277.35
  5. Step 5: Solve for x
    x = 15,499,052,277.35/201,132.43
  6. Step 6: Final answer
    x = 77,058.94

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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.