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Finding the Fourth Proportional to 147,353.84, 203,348.16 and 80,285.84

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Solution

The fourth proportional to 147,353.84, 203,348.16 and 80,285.84 is: 110,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,353.84 : 203,348.16 = 80,285.84 : x
  2. Step 2: Convert to fraction form
    147,353.84/203,348.16 = 80,285.84/x
  3. Step 3: Cross multiply
    147,353.84x = 203,348.16 × 80,285.84
  4. Step 4: Simplify right side
    147,353.84x = 16,325,977,838.05
  5. Step 5: Solve for x
    x = 16,325,977,838.05/147,353.84
  6. Step 6: Final answer
    x = 110,794.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.