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Finding the Fourth Proportional to 111,697.13, 166,741.49 and 95,730

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Solution

The fourth proportional to 111,697.13, 166,741.49 and 95,730 is: 142,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,697.13 : 166,741.49 = 95,730 : x
  2. Step 2: Convert to fraction form
    111,697.13/166,741.49 = 95,730/x
  3. Step 3: Cross multiply
    111,697.13x = 166,741.49 × 95,730
  4. Step 4: Simplify right side
    111,697.13x = 15,962,162,359.05
  5. Step 5: Solve for x
    x = 15,962,162,359.05/111,697.13
  6. Step 6: Final answer
    x = 142,905.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.