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Finding the Fourth Proportional to 157,825.11, 217,797.22 and 86,205.12

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Solution

The fourth proportional to 157,825.11, 217,797.22 and 86,205.12 is: 118,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,825.11 : 217,797.22 = 86,205.12 : x
  2. Step 2: Convert to fraction form
    157,825.11/217,797.22 = 86,205.12/x
  3. Step 3: Cross multiply
    157,825.11x = 217,797.22 × 86,205.12
  4. Step 4: Simplify right side
    157,825.11x = 18,775,235,485.77
  5. Step 5: Solve for x
    x = 18,775,235,485.77/157,825.11
  6. Step 6: Final answer
    x = 118,962.28

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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.