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Finding the Fourth Proportional to 123,896.80, 185,822.44 and 56,412.84

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Solution

The fourth proportional to 123,896.80, 185,822.44 and 56,412.84 is: 84,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,896.80 : 185,822.44 = 56,412.84 : x
  2. Step 2: Convert to fraction form
    123,896.80/185,822.44 = 56,412.84/x
  3. Step 3: Cross multiply
    123,896.80x = 185,822.44 × 56,412.84
  4. Step 4: Simplify right side
    123,896.80x = 10,482,771,576.13
  5. Step 5: Solve for x
    x = 10,482,771,576.13/123,896.80
  6. Step 6: Final answer
    x = 84,608.90

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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.