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Finding the Fourth Proportional to 189,171.58, 283,683.54 and 82,588.14

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Solution

The fourth proportional to 189,171.58, 283,683.54 and 82,588.14 is: 123,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,171.58 : 283,683.54 = 82,588.14 : x
  2. Step 2: Convert to fraction form
    189,171.58/283,683.54 = 82,588.14/x
  3. Step 3: Cross multiply
    189,171.58x = 283,683.54 × 82,588.14
  4. Step 4: Simplify right side
    189,171.58x = 23,428,895,917.22
  5. Step 5: Solve for x
    x = 23,428,895,917.22/189,171.58
  6. Step 6: Final answer
    x = 123,849.98

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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.