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Finding the Fourth Proportional to 202,054.74, 303,071.12 and 61,813.38

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Solution

The fourth proportional to 202,054.74, 303,071.12 and 61,813.38 is: 92,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,054.74 : 303,071.12 = 61,813.38 : x
  2. Step 2: Convert to fraction form
    202,054.74/303,071.12 = 61,813.38/x
  3. Step 3: Cross multiply
    202,054.74x = 303,071.12 × 61,813.38
  4. Step 4: Simplify right side
    202,054.74x = 18,733,850,307.59
  5. Step 5: Solve for x
    x = 18,733,850,307.59/202,054.74
  6. Step 6: Final answer
    x = 92,716.71

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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.