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Finding the Fourth Proportional to 309,865.57, 464,644.86 and 110,156.02

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Solution

The fourth proportional to 309,865.57, 464,644.86 and 110,156.02 is: 165,179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,865.57 : 464,644.86 = 110,156.02 : x
  2. Step 2: Convert to fraction form
    309,865.57/464,644.86 = 110,156.02/x
  3. Step 3: Cross multiply
    309,865.57x = 464,644.86 × 110,156.02
  4. Step 4: Simplify right side
    309,865.57x = 51,183,428,491.06
  5. Step 5: Solve for x
    x = 51,183,428,491.06/309,865.57
  6. Step 6: Final answer
    x = 165,179.46

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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.