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Finding the Fourth Proportional to 273,105, 409,726.62 and 76,113

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Solution

The fourth proportional to 273,105, 409,726.62 and 76,113 is: 114,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,105 : 409,726.62 = 76,113 : x
  2. Step 2: Convert to fraction form
    273,105/409,726.62 = 76,113/x
  3. Step 3: Cross multiply
    273,105x = 409,726.62 × 76,113
  4. Step 4: Simplify right side
    273,105x = 31,185,522,228.06
  5. Step 5: Solve for x
    x = 31,185,522,228.06/273,105
  6. Step 6: Final answer
    x = 114,188.76

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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.