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Finding the Fourth Proportional to 202,743.61, 303,916.80 and 112,829.21

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Solution

The fourth proportional to 202,743.61, 303,916.80 and 112,829.21 is: 169,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,743.61 : 303,916.80 = 112,829.21 : x
  2. Step 2: Convert to fraction form
    202,743.61/303,916.80 = 112,829.21/x
  3. Step 3: Cross multiply
    202,743.61x = 303,916.80 × 112,829.21
  4. Step 4: Simplify right side
    202,743.61x = 34,290,691,913.30
  5. Step 5: Solve for x
    x = 34,290,691,913.30/202,743.61
  6. Step 6: Final answer
    x = 169,133.28

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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.