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Finding the Fourth Proportional to 202,532.68, 303,534.78 and 146,561.32

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Solution

The fourth proportional to 202,532.68, 303,534.78 and 146,561.32 is: 219,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,532.68 : 303,534.78 = 146,561.32 : x
  2. Step 2: Convert to fraction form
    202,532.68/303,534.78 = 146,561.32/x
  3. Step 3: Cross multiply
    202,532.68x = 303,534.78 × 146,561.32
  4. Step 4: Simplify right side
    202,532.68x = 44,486,458,022.71
  5. Step 5: Solve for x
    x = 44,486,458,022.71/202,532.68
  6. Step 6: Final answer
    x = 219,650.76

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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.