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Finding the Fourth Proportional to 277,241.27, 415,800.61 and 77,507.96

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Solution

The fourth proportional to 277,241.27, 415,800.61 and 77,507.96 is: 116,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,241.27 : 415,800.61 = 77,507.96 : x
  2. Step 2: Convert to fraction form
    277,241.27/415,800.61 = 77,507.96/x
  3. Step 3: Cross multiply
    277,241.27x = 415,800.61 × 77,507.96
  4. Step 4: Simplify right side
    277,241.27x = 32,227,854,775.08
  5. Step 5: Solve for x
    x = 32,227,854,775.08/277,241.27
  6. Step 6: Final answer
    x = 116,244.80

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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.