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Finding the Fourth Proportional to 277,740, 416,610.18 and 67,377.96

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Solution

The fourth proportional to 277,740, 416,610.18 and 67,377.96 is: 101,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,740 : 416,610.18 = 67,377.96 : x
  2. Step 2: Convert to fraction form
    277,740/416,610.18 = 67,377.96/x
  3. Step 3: Cross multiply
    277,740x = 416,610.18 × 67,377.96
  4. Step 4: Simplify right side
    277,740x = 28,070,344,043.63
  5. Step 5: Solve for x
    x = 28,070,344,043.63/277,740
  6. Step 6: Final answer
    x = 101,066.98

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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.