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Finding the Fourth Proportional to 234,615.76, 351,888 and 76,840.72

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Solution

The fourth proportional to 234,615.76, 351,888 and 76,840.72 is: 115,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,615.76 : 351,888 = 76,840.72 : x
  2. Step 2: Convert to fraction form
    234,615.76/351,888 = 76,840.72/x
  3. Step 3: Cross multiply
    234,615.76x = 351,888 × 76,840.72
  4. Step 4: Simplify right side
    234,615.76x = 27,039,327,279.36
  5. Step 5: Solve for x
    x = 27,039,327,279.36/234,615.76
  6. Step 6: Final answer
    x = 115,249.41

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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.