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Finding the Fourth Proportional to 202,049.20, 303,088.20 and 61,807.60

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Solution

The fourth proportional to 202,049.20, 303,088.20 and 61,807.60 is: 92,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,049.20 : 303,088.20 = 61,807.60 : x
  2. Step 2: Convert to fraction form
    202,049.20/303,088.20 = 61,807.60/x
  3. Step 3: Cross multiply
    202,049.20x = 303,088.20 × 61,807.60
  4. Step 4: Simplify right side
    202,049.20x = 18,733,154,230.32
  5. Step 5: Solve for x
    x = 18,733,154,230.32/202,049.20
  6. Step 6: Final answer
    x = 92,715.81

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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.