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Finding the Fourth Proportional to 299,121.70, 448,944.99 and 166,152.10

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Solution

The fourth proportional to 299,121.70, 448,944.99 and 166,152.10 is: 249,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,121.70 : 448,944.99 = 166,152.10 : x
  2. Step 2: Convert to fraction form
    299,121.70/448,944.99 = 166,152.10/x
  3. Step 3: Cross multiply
    299,121.70x = 448,944.99 × 166,152.10
  4. Step 4: Simplify right side
    299,121.70x = 74,593,152,872.98
  5. Step 5: Solve for x
    x = 74,593,152,872.98/299,121.70
  6. Step 6: Final answer
    x = 249,373.93

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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.