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Finding the Fourth Proportional to 271,898.28, 407,387.16 and 166,497.12

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Solution

The fourth proportional to 271,898.28, 407,387.16 and 166,497.12 is: 249,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,898.28 : 407,387.16 = 166,497.12 : x
  2. Step 2: Convert to fraction form
    271,898.28/407,387.16 = 166,497.12/x
  3. Step 3: Cross multiply
    271,898.28x = 407,387.16 × 166,497.12
  4. Step 4: Simplify right side
    271,898.28x = 67,828,788,864.98
  5. Step 5: Solve for x
    x = 67,828,788,864.98/271,898.28
  6. Step 6: Final answer
    x = 249,463.84

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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.