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Finding the Fourth Proportional to 202,064.60, 303,072.60 and 83,723.60

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Solution

The fourth proportional to 202,064.60, 303,072.60 and 83,723.60 is: 125,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,064.60 : 303,072.60 = 83,723.60 : x
  2. Step 2: Convert to fraction form
    202,064.60/303,072.60 = 83,723.60/x
  3. Step 3: Cross multiply
    202,064.60x = 303,072.60 × 83,723.60
  4. Step 4: Simplify right side
    202,064.60x = 25,374,329,133.36
  5. Step 5: Solve for x
    x = 25,374,329,133.36/202,064.60
  6. Step 6: Final answer
    x = 125,575.33

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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.