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Finding the Fourth Proportional to 150,024.96, 207,043.20 and 82,963.20

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Solution

The fourth proportional to 150,024.96, 207,043.20 and 82,963.20 is: 114,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,024.96 : 207,043.20 = 82,963.20 : x
  2. Step 2: Convert to fraction form
    150,024.96/207,043.20 = 82,963.20/x
  3. Step 3: Cross multiply
    150,024.96x = 207,043.20 × 82,963.20
  4. Step 4: Simplify right side
    150,024.96x = 17,176,966,410.24
  5. Step 5: Solve for x
    x = 17,176,966,410.24/150,024.96
  6. Step 6: Final answer
    x = 114,494.06

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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.