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Finding the Fourth Proportional to 202,266.76, 303,793.86 and 164,854.48

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Solution

The fourth proportional to 202,266.76, 303,793.86 and 164,854.48 is: 247,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,266.76 : 303,793.86 = 164,854.48 : x
  2. Step 2: Convert to fraction form
    202,266.76/303,793.86 = 164,854.48/x
  3. Step 3: Cross multiply
    202,266.76x = 303,793.86 × 164,854.48
  4. Step 4: Simplify right side
    202,266.76x = 50,081,778,817.49
  5. Step 5: Solve for x
    x = 50,081,778,817.49/202,266.76
  6. Step 6: Final answer
    x = 247,602.62

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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.