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Finding the Fourth Proportional to 202,329.80, 303,494.70 and 164,932.10

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Solution

The fourth proportional to 202,329.80, 303,494.70 and 164,932.10 is: 247,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,329.80 : 303,494.70 = 164,932.10 : x
  2. Step 2: Convert to fraction form
    202,329.80/303,494.70 = 164,932.10/x
  3. Step 3: Cross multiply
    202,329.80x = 303,494.70 × 164,932.10
  4. Step 4: Simplify right side
    202,329.80x = 50,056,018,209.87
  5. Step 5: Solve for x
    x = 50,056,018,209.87/202,329.80
  6. Step 6: Final answer
    x = 247,398.15

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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.