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Finding the Fourth Proportional to 202,333.60, 303,135.90 and 96,920.20

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Solution

The fourth proportional to 202,333.60, 303,135.90 and 96,920.20 is: 145,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,333.60 : 303,135.90 = 96,920.20 : x
  2. Step 2: Convert to fraction form
    202,333.60/303,135.90 = 96,920.20/x
  3. Step 3: Cross multiply
    202,333.60x = 303,135.90 × 96,920.20
  4. Step 4: Simplify right side
    202,333.60x = 29,379,992,055.18
  5. Step 5: Solve for x
    x = 29,379,992,055.18/202,333.60
  6. Step 6: Final answer
    x = 145,205.70

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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.