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Finding the Fourth Proportional to 165,709.92, 248,532.30 and 64,508.34

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Solution

The fourth proportional to 165,709.92, 248,532.30 and 64,508.34 is: 96,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,709.92 : 248,532.30 = 64,508.34 : x
  2. Step 2: Convert to fraction form
    165,709.92/248,532.30 = 64,508.34/x
  3. Step 3: Cross multiply
    165,709.92x = 248,532.30 × 64,508.34
  4. Step 4: Simplify right side
    165,709.92x = 16,032,406,109.38
  5. Step 5: Solve for x
    x = 16,032,406,109.38/165,709.92
  6. Step 6: Final answer
    x = 96,749.83

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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.