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Finding the Fourth Proportional to 202,117.95, 303,177.83 and 52,347.60

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Solution

The fourth proportional to 202,117.95, 303,177.83 and 52,347.60 is: 78,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,117.95 : 303,177.83 = 52,347.60 : x
  2. Step 2: Convert to fraction form
    202,117.95/303,177.83 = 52,347.60/x
  3. Step 3: Cross multiply
    202,117.95x = 303,177.83 × 52,347.60
  4. Step 4: Simplify right side
    202,117.95x = 15,870,631,511.97
  5. Step 5: Solve for x
    x = 15,870,631,511.97/202,117.95
  6. Step 6: Final answer
    x = 78,521.63

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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.