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Finding the Fourth Proportional to 150,304.98, 207,420.54 and 82,321.98

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Solution

The fourth proportional to 150,304.98, 207,420.54 and 82,321.98 is: 113,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,304.98 : 207,420.54 = 82,321.98 : x
  2. Step 2: Convert to fraction form
    150,304.98/207,420.54 = 82,321.98/x
  3. Step 3: Cross multiply
    150,304.98x = 207,420.54 × 82,321.98
  4. Step 4: Simplify right side
    150,304.98x = 17,075,269,545.47
  5. Step 5: Solve for x
    x = 17,075,269,545.47/150,304.98
  6. Step 6: Final answer
    x = 113,604.15

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1.5x scale

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.