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Finding the Fourth Proportional to 276,110.76, 414,165.66 and 76,430.58

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Solution

The fourth proportional to 276,110.76, 414,165.66 and 76,430.58 is: 114,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,110.76 : 414,165.66 = 76,430.58 : x
  2. Step 2: Convert to fraction form
    276,110.76/414,165.66 = 76,430.58/x
  3. Step 3: Cross multiply
    276,110.76x = 414,165.66 × 76,430.58
  4. Step 4: Simplify right side
    276,110.76x = 31,654,921,609.88
  5. Step 5: Solve for x
    x = 31,654,921,609.88/276,110.76
  6. Step 6: Final answer
    x = 114,645.74

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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.