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Finding the Fourth Proportional to 106,157.42, 159,232.01 and 39,597.42

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Solution

The fourth proportional to 106,157.42, 159,232.01 and 39,597.42 is: 59,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,157.42 : 159,232.01 = 39,597.42 : x
  2. Step 2: Convert to fraction form
    106,157.42/159,232.01 = 39,597.42/x
  3. Step 3: Cross multiply
    106,157.42x = 159,232.01 × 39,597.42
  4. Step 4: Simplify right side
    106,157.42x = 6,305,176,579.43
  5. Step 5: Solve for x
    x = 6,305,176,579.43/106,157.42
  6. Step 6: Final answer
    x = 59,394.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.