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Finding the Fourth Proportional to 202,003.90, 303,005.85 and 96,768.70

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Solution

The fourth proportional to 202,003.90, 303,005.85 and 96,768.70 is: 145,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,003.90 : 303,005.85 = 96,768.70 : x
  2. Step 2: Convert to fraction form
    202,003.90/303,005.85 = 96,768.70/x
  3. Step 3: Cross multiply
    202,003.90x = 303,005.85 × 96,768.70
  4. Step 4: Simplify right side
    202,003.90x = 29,321,482,196.90
  5. Step 5: Solve for x
    x = 29,321,482,196.90/202,003.90
  6. Step 6: Final answer
    x = 145,153.05

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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.