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Finding the Fourth Proportional to 165,513.81, 247,957.34 and 97,843.24

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Solution

The fourth proportional to 165,513.81, 247,957.34 and 97,843.24 is: 146,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,513.81 : 247,957.34 = 97,843.24 : x
  2. Step 2: Convert to fraction form
    165,513.81/247,957.34 = 97,843.24/x
  3. Step 3: Cross multiply
    165,513.81x = 247,957.34 × 97,843.24
  4. Step 4: Simplify right side
    165,513.81x = 24,260,950,173.66
  5. Step 5: Solve for x
    x = 24,260,950,173.66/165,513.81
  6. Step 6: Final answer
    x = 146,579.62

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1.5x scale

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.