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Finding the Fourth Proportional to 202,200.24, 303,487.92 and 102,430.92

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Solution

The fourth proportional to 202,200.24, 303,487.92 and 102,430.92 is: 153,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,200.24 : 303,487.92 = 102,430.92 : x
  2. Step 2: Convert to fraction form
    202,200.24/303,487.92 = 102,430.92/x
  3. Step 3: Cross multiply
    202,200.24x = 303,487.92 × 102,430.92
  4. Step 4: Simplify right side
    202,200.24x = 31,086,546,854.49
  5. Step 5: Solve for x
    x = 31,086,546,854.49/202,200.24
  6. Step 6: Final answer
    x = 153,741.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.