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Finding the Fourth Proportional to 202,386.20, 303,414.42 and 75,955.40

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Solution

The fourth proportional to 202,386.20, 303,414.42 and 75,955.40 is: 113,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,386.20 : 303,414.42 = 75,955.40 : x
  2. Step 2: Convert to fraction form
    202,386.20/303,414.42 = 75,955.40/x
  3. Step 3: Cross multiply
    202,386.20x = 303,414.42 × 75,955.40
  4. Step 4: Simplify right side
    202,386.20x = 23,045,963,636.87
  5. Step 5: Solve for x
    x = 23,045,963,636.87/202,386.20
  6. Step 6: Final answer
    x = 113,871.22

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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.