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Finding the Fourth Proportional to 202,049.10, 303,062.74 and 61,807.74

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Solution

The fourth proportional to 202,049.10, 303,062.74 and 61,807.74 is: 92,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,049.10 : 303,062.74 = 61,807.74 : x
  2. Step 2: Convert to fraction form
    202,049.10/303,062.74 = 61,807.74/x
  3. Step 3: Cross multiply
    202,049.10x = 303,062.74 × 61,807.74
  4. Step 4: Simplify right side
    202,049.10x = 18,731,623,037.61
  5. Step 5: Solve for x
    x = 18,731,623,037.61/202,049.10
  6. Step 6: Final answer
    x = 92,708.27

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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.