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Finding the Fourth Proportional to 202,294.90, 303,551.70 and 89,992.45

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Solution

The fourth proportional to 202,294.90, 303,551.70 and 89,992.45 is: 135,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,294.90 : 303,551.70 = 89,992.45 : x
  2. Step 2: Convert to fraction form
    202,294.90/303,551.70 = 89,992.45/x
  3. Step 3: Cross multiply
    202,294.90x = 303,551.70 × 89,992.45
  4. Step 4: Simplify right side
    202,294.90x = 27,317,361,184.67
  5. Step 5: Solve for x
    x = 27,317,361,184.67/202,294.90
  6. Step 6: Final answer
    x = 135,037.32

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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.