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Finding the Fourth Proportional to 165,760.71, 248,639.23 and 99,219.42

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Solution

The fourth proportional to 165,760.71, 248,639.23 and 99,219.42 is: 148,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,760.71 : 248,639.23 = 99,219.42 : x
  2. Step 2: Convert to fraction form
    165,760.71/248,639.23 = 99,219.42/x
  3. Step 3: Cross multiply
    165,760.71x = 248,639.23 × 99,219.42
  4. Step 4: Simplify right side
    165,760.71x = 24,669,840,189.85
  5. Step 5: Solve for x
    x = 24,669,840,189.85/165,760.71
  6. Step 6: Final answer
    x = 148,828.03

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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.