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Finding the Fourth Proportional to 189,355.35, 283,873.98 and 82,658.13

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Solution

The fourth proportional to 189,355.35, 283,873.98 and 82,658.13 is: 123,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,355.35 : 283,873.98 = 82,658.13 : x
  2. Step 2: Convert to fraction form
    189,355.35/283,873.98 = 82,658.13/x
  3. Step 3: Cross multiply
    189,355.35x = 283,873.98 × 82,658.13
  4. Step 4: Simplify right side
    189,355.35x = 23,464,492,342.46
  5. Step 5: Solve for x
    x = 23,464,492,342.46/189,355.35
  6. Step 6: Final answer
    x = 123,917.77

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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.