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Finding the Fourth Proportional to 277,214.36, 415,845.11 and 77,534.88

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Solution

The fourth proportional to 277,214.36, 415,845.11 and 77,534.88 is: 116,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,214.36 : 415,845.11 = 77,534.88 : x
  2. Step 2: Convert to fraction form
    277,214.36/415,845.11 = 77,534.88/x
  3. Step 3: Cross multiply
    277,214.36x = 415,845.11 × 77,534.88
  4. Step 4: Simplify right side
    277,214.36x = 32,242,499,336.85
  5. Step 5: Solve for x
    x = 32,242,499,336.85/277,214.36
  6. Step 6: Final answer
    x = 116,308.91

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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.