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Finding the Fourth Proportional to 202,564.67, 303,847.13 and 52,804.58

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Solution

The fourth proportional to 202,564.67, 303,847.13 and 52,804.58 is: 79,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,564.67 : 303,847.13 = 52,804.58 : x
  2. Step 2: Convert to fraction form
    202,564.67/303,847.13 = 52,804.58/x
  3. Step 3: Cross multiply
    202,564.67x = 303,847.13 × 52,804.58
  4. Step 4: Simplify right side
    202,564.67x = 16,044,518,696.63
  5. Step 5: Solve for x
    x = 16,044,518,696.63/202,564.67
  6. Step 6: Final answer
    x = 79,206.90

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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.