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Finding the Fourth Proportional to 228,299.74, 342,591.87 and 109,983.10

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Solution

The fourth proportional to 228,299.74, 342,591.87 and 109,983.10 is: 165,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,299.74 : 342,591.87 = 109,983.10 : x
  2. Step 2: Convert to fraction form
    228,299.74/342,591.87 = 109,983.10/x
  3. Step 3: Cross multiply
    228,299.74x = 342,591.87 × 109,983.10
  4. Step 4: Simplify right side
    228,299.74x = 37,679,315,897.40
  5. Step 5: Solve for x
    x = 37,679,315,897.40/228,299.74
  6. Step 6: Final answer
    x = 165,043.18

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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.