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Finding the Fourth Proportional to 161,411.80, 241,964.10 and 125,853.40

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Solution

The fourth proportional to 161,411.80, 241,964.10 and 125,853.40 is: 188,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,411.80 : 241,964.10 = 125,853.40 : x
  2. Step 2: Convert to fraction form
    161,411.80/241,964.10 = 125,853.40/x
  3. Step 3: Cross multiply
    161,411.80x = 241,964.10 × 125,853.40
  4. Step 4: Simplify right side
    161,411.80x = 30,452,004,662.94
  5. Step 5: Solve for x
    x = 30,452,004,662.94/161,411.80
  6. Step 6: Final answer
    x = 188,660.34

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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.