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Finding the Fourth Proportional to 277,215.86, 415,847.37 and 77,536.38

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Solution

The fourth proportional to 277,215.86, 415,847.37 and 77,536.38 is: 116,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,215.86 : 415,847.37 = 77,536.38 : x
  2. Step 2: Convert to fraction form
    277,215.86/415,847.37 = 77,536.38/x
  3. Step 3: Cross multiply
    277,215.86x = 415,847.37 × 77,536.38
  4. Step 4: Simplify right side
    277,215.86x = 32,243,299,702.32
  5. Step 5: Solve for x
    x = 32,243,299,702.32/277,215.86
  6. Step 6: Final answer
    x = 116,311.17

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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.