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Finding the Fourth Proportional to 277,964.12, 416,942.04 and 88,436

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Solution

The fourth proportional to 277,964.12, 416,942.04 and 88,436 is: 132,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,964.12 : 416,942.04 = 88,436 : x
  2. Step 2: Convert to fraction form
    277,964.12/416,942.04 = 88,436/x
  3. Step 3: Cross multiply
    277,964.12x = 416,942.04 × 88,436
  4. Step 4: Simplify right side
    277,964.12x = 36,872,686,249.44
  5. Step 5: Solve for x
    x = 36,872,686,249.44/277,964.12
  6. Step 6: Final answer
    x = 132,652.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.