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Finding the Fourth Proportional to 185,227.76, 277,809.28 and 52,076.40

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Solution

The fourth proportional to 185,227.76, 277,809.28 and 52,076.40 is: 78,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,227.76 : 277,809.28 = 52,076.40 : x
  2. Step 2: Convert to fraction form
    185,227.76/277,809.28 = 52,076.40/x
  3. Step 3: Cross multiply
    185,227.76x = 277,809.28 × 52,076.40
  4. Step 4: Simplify right side
    185,227.76x = 14,467,307,188.99
  5. Step 5: Solve for x
    x = 14,467,307,188.99/185,227.76
  6. Step 6: Final answer
    x = 78,105.50

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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.