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Finding the Fourth Proportional to 299,105.67, 448,490.28 and 99,319.14

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Solution

The fourth proportional to 299,105.67, 448,490.28 and 99,319.14 is: 148,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,105.67 : 448,490.28 = 99,319.14 : x
  2. Step 2: Convert to fraction form
    299,105.67/448,490.28 = 99,319.14/x
  3. Step 3: Cross multiply
    299,105.67x = 448,490.28 × 99,319.14
  4. Step 4: Simplify right side
    299,105.67x = 44,543,668,907.96
  5. Step 5: Solve for x
    x = 44,543,668,907.96/299,105.67
  6. Step 6: Final answer
    x = 148,922.85

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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.