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Finding the Fourth Proportional to 277,681, 416,537.64 and 78,016.96

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Solution

The fourth proportional to 277,681, 416,537.64 and 78,016.96 is: 117,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,681 : 416,537.64 = 78,016.96 : x
  2. Step 2: Convert to fraction form
    277,681/416,537.64 = 78,016.96/x
  3. Step 3: Cross multiply
    277,681x = 416,537.64 × 78,016.96
  4. Step 4: Simplify right side
    277,681x = 32,497,000,398.37
  5. Step 5: Solve for x
    x = 32,497,000,398.37/277,681
  6. Step 6: Final answer
    x = 117,029.97

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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.