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Finding the Fourth Proportional to 365,223.74, 547,936.72 and 152,091.95

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Solution

The fourth proportional to 365,223.74, 547,936.72 and 152,091.95 is: 228,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,223.74 : 547,936.72 = 152,091.95 : x
  2. Step 2: Convert to fraction form
    365,223.74/547,936.72 = 152,091.95/x
  3. Step 3: Cross multiply
    365,223.74x = 547,936.72 × 152,091.95
  4. Step 4: Simplify right side
    365,223.74x = 83,336,761,101.49
  5. Step 5: Solve for x
    x = 83,336,761,101.49/365,223.74
  6. Step 6: Final answer
    x = 228,180.03

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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.