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Finding the Fourth Proportional to 150,304, 207,426 and 83,236

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Solution

The fourth proportional to 150,304, 207,426 and 83,236 is: 114,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,304 : 207,426 = 83,236 : x
  2. Step 2: Convert to fraction form
    150,304/207,426 = 83,236/x
  3. Step 3: Cross multiply
    150,304x = 207,426 × 83,236
  4. Step 4: Simplify right side
    150,304x = 17,265,310,536
  5. Step 5: Solve for x
    x = 17,265,310,536/150,304
  6. Step 6: Final answer
    x = 114,869.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.