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Finding the Fourth Proportional to 202,194.96, 303,293.67 and 89,848.77

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Solution

The fourth proportional to 202,194.96, 303,293.67 and 89,848.77 is: 134,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,194.96 : 303,293.67 = 89,848.77 : x
  2. Step 2: Convert to fraction form
    202,194.96/303,293.67 = 89,848.77/x
  3. Step 3: Cross multiply
    202,194.96x = 303,293.67 × 89,848.77
  4. Step 4: Simplify right side
    202,194.96x = 27,250,563,198.29
  5. Step 5: Solve for x
    x = 27,250,563,198.29/202,194.96
  6. Step 6: Final answer
    x = 134,773.70

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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.