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Finding the Fourth Proportional to 202,398.82, 303,192.15 and 185,864.02

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Solution

The fourth proportional to 202,398.82, 303,192.15 and 185,864.02 is: 278,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,398.82 : 303,192.15 = 185,864.02 : x
  2. Step 2: Convert to fraction form
    202,398.82/303,192.15 = 185,864.02/x
  3. Step 3: Cross multiply
    202,398.82x = 303,192.15 × 185,864.02
  4. Step 4: Simplify right side
    202,398.82x = 56,352,511,831.44
  5. Step 5: Solve for x
    x = 56,352,511,831.44/202,398.82
  6. Step 6: Final answer
    x = 278,423.12

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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.