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Finding the Fourth Proportional to 277,760.96, 416,516.88 and 165,494.05

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Solution

The fourth proportional to 277,760.96, 416,516.88 and 165,494.05 is: 248,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,760.96 : 416,516.88 = 165,494.05 : x
  2. Step 2: Convert to fraction form
    277,760.96/416,516.88 = 165,494.05/x
  3. Step 3: Cross multiply
    277,760.96x = 416,516.88 × 165,494.05
  4. Step 4: Simplify right side
    277,760.96x = 68,931,065,529.61
  5. Step 5: Solve for x
    x = 68,931,065,529.61/277,760.96
  6. Step 6: Final answer
    x = 248,166.86

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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.