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Finding the Fourth Proportional to 202,653.26, 303,734.10 and 148,846.32

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Solution

The fourth proportional to 202,653.26, 303,734.10 and 148,846.32 is: 223,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,653.26 : 303,734.10 = 148,846.32 : x
  2. Step 2: Convert to fraction form
    202,653.26/303,734.10 = 148,846.32/x
  3. Step 3: Cross multiply
    202,653.26x = 303,734.10 × 148,846.32
  4. Step 4: Simplify right side
    202,653.26x = 45,209,702,299.28
  5. Step 5: Solve for x
    x = 45,209,702,299.28/202,653.26
  6. Step 6: Final answer
    x = 223,088.95

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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.