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Finding the Fourth Proportional to 276,760.71, 414,863.51 and 96,706.35

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Solution

The fourth proportional to 276,760.71, 414,863.51 and 96,706.35 is: 144,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,760.71 : 414,863.51 = 96,706.35 : x
  2. Step 2: Convert to fraction form
    276,760.71/414,863.51 = 96,706.35/x
  3. Step 3: Cross multiply
    276,760.71x = 414,863.51 × 96,706.35
  4. Step 4: Simplify right side
    276,760.71x = 40,119,935,316.76
  5. Step 5: Solve for x
    x = 40,119,935,316.76/276,760.71
  6. Step 6: Final answer
    x = 144,962.54

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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.