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Finding the Fourth Proportional to 150,242.64, 207,334.88 and 82,264.00

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Solution

The fourth proportional to 150,242.64, 207,334.88 and 82,264.00 is: 113,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,242.64 : 207,334.88 = 82,264.00 : x
  2. Step 2: Convert to fraction form
    150,242.64/207,334.88 = 82,264.00/x
  3. Step 3: Cross multiply
    150,242.64x = 207,334.88 × 82,264.00
  4. Step 4: Simplify right side
    150,242.64x = 17,056,196,416.17
  5. Step 5: Solve for x
    x = 17,056,196,416.17/150,242.64
  6. Step 6: Final answer
    x = 113,524.34

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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.