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Finding the Fourth Proportional to 116,049.22, 160,147.65 and 65,748.22

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Solution

The fourth proportional to 116,049.22, 160,147.65 and 65,748.22 is: 90,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,049.22 : 160,147.65 = 65,748.22 : x
  2. Step 2: Convert to fraction form
    116,049.22/160,147.65 = 65,748.22/x
  3. Step 3: Cross multiply
    116,049.22x = 160,147.65 × 65,748.22
  4. Step 4: Simplify right side
    116,049.22x = 10,529,422,924.68
  5. Step 5: Solve for x
    x = 10,529,422,924.68/116,049.22
  6. Step 6: Final answer
    x = 90,732.39

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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.