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Finding the Fourth Proportional to 202,564.73, 303,847.23 and 52,804.64

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Solution

The fourth proportional to 202,564.73, 303,847.23 and 52,804.64 is: 79,207.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,564.73 : 303,847.23 = 52,804.64 : x
  2. Step 2: Convert to fraction form
    202,564.73/303,847.23 = 52,804.64/x
  3. Step 3: Cross multiply
    202,564.73x = 303,847.23 × 52,804.64
  4. Step 4: Simplify right side
    202,564.73x = 16,044,543,595.15
  5. Step 5: Solve for x
    x = 16,044,543,595.15/202,564.73
  6. Step 6: Final answer
    x = 79,207.00

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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.