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Finding the Fourth Proportional to 277,236.52, 415,793.48 and 77,503.21

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Solution

The fourth proportional to 277,236.52, 415,793.48 and 77,503.21 is: 116,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,236.52 : 415,793.48 = 77,503.21 : x
  2. Step 2: Convert to fraction form
    277,236.52/415,793.48 = 77,503.21/x
  3. Step 3: Cross multiply
    277,236.52x = 415,793.48 × 77,503.21
  4. Step 4: Simplify right side
    277,236.52x = 32,225,329,397.07
  5. Step 5: Solve for x
    x = 32,225,329,397.07/277,236.52
  6. Step 6: Final answer
    x = 116,237.68

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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.