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Finding the Fourth Proportional to 202,329.60, 303,129.90 and 96,916.20

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Solution

The fourth proportional to 202,329.60, 303,129.90 and 96,916.20 is: 145,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,329.60 : 303,129.90 = 96,916.20 : x
  2. Step 2: Convert to fraction form
    202,329.60/303,129.90 = 96,916.20/x
  3. Step 3: Cross multiply
    202,329.60x = 303,129.90 × 96,916.20
  4. Step 4: Simplify right side
    202,329.60x = 29,378,198,014.38
  5. Step 5: Solve for x
    x = 29,378,198,014.38/202,329.60
  6. Step 6: Final answer
    x = 145,199.70

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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.