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Finding the Fourth Proportional to 202,533.68, 303,536.28 and 146,562.32

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Solution

The fourth proportional to 202,533.68, 303,536.28 and 146,562.32 is: 219,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,533.68 : 303,536.28 = 146,562.32 : x
  2. Step 2: Convert to fraction form
    202,533.68/303,536.28 = 146,562.32/x
  3. Step 3: Cross multiply
    202,533.68x = 303,536.28 × 146,562.32
  4. Step 4: Simplify right side
    202,533.68x = 44,486,981,400.97
  5. Step 5: Solve for x
    x = 44,486,981,400.97/202,533.68
  6. Step 6: Final answer
    x = 219,652.26

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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.