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Finding the Fourth Proportional to 271,861.36, 408,041.10 and 145,644.10

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Solution

The fourth proportional to 271,861.36, 408,041.10 and 145,644.10 is: 218,599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,861.36 : 408,041.10 = 145,644.10 : x
  2. Step 2: Convert to fraction form
    271,861.36/408,041.10 = 145,644.10/x
  3. Step 3: Cross multiply
    271,861.36x = 408,041.10 × 145,644.10
  4. Step 4: Simplify right side
    271,861.36x = 59,428,778,772.51
  5. Step 5: Solve for x
    x = 59,428,778,772.51/271,861.36
  6. Step 6: Final answer
    x = 218,599.58

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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.