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Finding the Fourth Proportional to 189,384.84, 261,257.46 and 123,934.92

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Solution

The fourth proportional to 189,384.84, 261,257.46 and 123,934.92 is: 170,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,384.84 : 261,257.46 = 123,934.92 : x
  2. Step 2: Convert to fraction form
    189,384.84/261,257.46 = 123,934.92/x
  3. Step 3: Cross multiply
    189,384.84x = 261,257.46 × 123,934.92
  4. Step 4: Simplify right side
    189,384.84x = 32,378,922,404.50
  5. Step 5: Solve for x
    x = 32,378,922,404.50/189,384.84
  6. Step 6: Final answer
    x = 170,968.92

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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.