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Finding the Fourth Proportional to 202,689.60, 303,640.68 and 97,582.32

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Solution

The fourth proportional to 202,689.60, 303,640.68 and 97,582.32 is: 146,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,689.60 : 303,640.68 = 97,582.32 : x
  2. Step 2: Convert to fraction form
    202,689.60/303,640.68 = 97,582.32/x
  3. Step 3: Cross multiply
    202,689.60x = 303,640.68 × 97,582.32
  4. Step 4: Simplify right side
    202,689.60x = 29,629,962,000.78
  5. Step 5: Solve for x
    x = 29,629,962,000.78/202,689.60
  6. Step 6: Final answer
    x = 146,183.93

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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.