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Finding the Fourth Proportional to 165,446.49, 246,298.74 and 164,462.34

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Solution

The fourth proportional to 165,446.49, 246,298.74 and 164,462.34 is: 244,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,446.49 : 246,298.74 = 164,462.34 : x
  2. Step 2: Convert to fraction form
    165,446.49/246,298.74 = 164,462.34/x
  3. Step 3: Cross multiply
    165,446.49x = 246,298.74 × 164,462.34
  4. Step 4: Simplify right side
    165,446.49x = 40,506,867,119.45
  5. Step 5: Solve for x
    x = 40,506,867,119.45/165,446.49
  6. Step 6: Final answer
    x = 244,833.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.