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Finding the Fourth Proportional to 123,209.84, 184,786.88 and 56,585.92

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Solution

The fourth proportional to 123,209.84, 184,786.88 and 56,585.92 is: 84,866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,209.84 : 184,786.88 = 56,585.92 : x
  2. Step 2: Convert to fraction form
    123,209.84/184,786.88 = 56,585.92/x
  3. Step 3: Cross multiply
    123,209.84x = 184,786.88 × 56,585.92
  4. Step 4: Simplify right side
    123,209.84x = 10,456,335,325.80
  5. Step 5: Solve for x
    x = 10,456,335,325.80/123,209.84
  6. Step 6: Final answer
    x = 84,866.07

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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.