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Finding the Fourth Proportional to 271,762, 407,199.06 and 165,178.56

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Solution

The fourth proportional to 271,762, 407,199.06 and 165,178.56 is: 247,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,762 : 407,199.06 = 165,178.56 : x
  2. Step 2: Convert to fraction form
    271,762/407,199.06 = 165,178.56/x
  3. Step 3: Cross multiply
    271,762x = 407,199.06 × 165,178.56
  4. Step 4: Simplify right side
    271,762x = 67,260,554,364.15
  5. Step 5: Solve for x
    x = 67,260,554,364.15/271,762
  6. Step 6: Final answer
    x = 247,498.01

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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.