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Finding the Fourth Proportional to 202,116.80, 303,831.30 and 143,359.40

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Solution

The fourth proportional to 202,116.80, 303,831.30 and 143,359.40 is: 215,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,116.80 : 303,831.30 = 143,359.40 : x
  2. Step 2: Convert to fraction form
    202,116.80/303,831.30 = 143,359.40/x
  3. Step 3: Cross multiply
    202,116.80x = 303,831.30 × 143,359.40
  4. Step 4: Simplify right side
    202,116.80x = 43,557,072,869.22
  5. Step 5: Solve for x
    x = 43,557,072,869.22/202,116.80
  6. Step 6: Final answer
    x = 215,504.47

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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.