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Finding the Fourth Proportional to 271,574.10, 407,354.98 and 159,962.34

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Solution

The fourth proportional to 271,574.10, 407,354.98 and 159,962.34 is: 239,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,574.10 : 407,354.98 = 159,962.34 : x
  2. Step 2: Convert to fraction form
    271,574.10/407,354.98 = 159,962.34/x
  3. Step 3: Cross multiply
    271,574.10x = 407,354.98 × 159,962.34
  4. Step 4: Simplify right side
    271,574.10x = 65,161,455,811.45
  5. Step 5: Solve for x
    x = 65,161,455,811.45/271,574.10
  6. Step 6: Final answer
    x = 239,939.88

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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.