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Finding the Fourth Proportional to 132,157.44, 182,378.64 and 71,728.64

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Solution

The fourth proportional to 132,157.44, 182,378.64 and 71,728.64 is: 98,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,157.44 : 182,378.64 = 71,728.64 : x
  2. Step 2: Convert to fraction form
    132,157.44/182,378.64 = 71,728.64/x
  3. Step 3: Cross multiply
    132,157.44x = 182,378.64 × 71,728.64
  4. Step 4: Simplify right side
    132,157.44x = 13,081,771,812.25
  5. Step 5: Solve for x
    x = 13,081,771,812.25/132,157.44
  6. Step 6: Final answer
    x = 98,986.27

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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.