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Finding the Fourth Proportional to 202,111.30, 303,823.05 and 143,353.90

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Solution

The fourth proportional to 202,111.30, 303,823.05 and 143,353.90 is: 215,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,111.30 : 303,823.05 = 143,353.90 : x
  2. Step 2: Convert to fraction form
    202,111.30/303,823.05 = 143,353.90/x
  3. Step 3: Cross multiply
    202,111.30x = 303,823.05 × 143,353.90
  4. Step 4: Simplify right side
    202,111.30x = 43,554,219,127.40
  5. Step 5: Solve for x
    x = 43,554,219,127.40/202,111.30
  6. Step 6: Final answer
    x = 215,496.21

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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.