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Finding the Fourth Proportional to 376,100.40, 564,169.44 and 123,358.54

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Solution

The fourth proportional to 376,100.40, 564,169.44 and 123,358.54 is: 185,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,100.40 : 564,169.44 = 123,358.54 : x
  2. Step 2: Convert to fraction form
    376,100.40/564,169.44 = 123,358.54/x
  3. Step 3: Cross multiply
    376,100.40x = 564,169.44 × 123,358.54
  4. Step 4: Simplify right side
    376,100.40x = 69,595,118,431.02
  5. Step 5: Solve for x
    x = 69,595,118,431.02/376,100.40
  6. Step 6: Final answer
    x = 185,043.99

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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.