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Finding the Fourth Proportional to 277,134.46, 415,702.55 and 77,453.53

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Solution

The fourth proportional to 277,134.46, 415,702.55 and 77,453.53 is: 116,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,134.46 : 415,702.55 = 77,453.53 : x
  2. Step 2: Convert to fraction form
    277,134.46/415,702.55 = 77,453.53/x
  3. Step 3: Cross multiply
    277,134.46x = 415,702.55 × 77,453.53
  4. Step 4: Simplify right side
    277,134.46x = 32,197,629,927.50
  5. Step 5: Solve for x
    x = 32,197,629,927.50/277,134.46
  6. Step 6: Final answer
    x = 116,180.54

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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.