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Finding the Fourth Proportional to 202,322.40, 303,829.20 and 109,010.40

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Solution

The fourth proportional to 202,322.40, 303,829.20 and 109,010.40 is: 163,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,322.40 : 303,829.20 = 109,010.40 : x
  2. Step 2: Convert to fraction form
    202,322.40/303,829.20 = 109,010.40/x
  3. Step 3: Cross multiply
    202,322.40x = 303,829.20 × 109,010.40
  4. Step 4: Simplify right side
    202,322.40x = 33,120,542,623.68
  5. Step 5: Solve for x
    x = 33,120,542,623.68/202,322.40
  6. Step 6: Final answer
    x = 163,701.81

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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.