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Finding the Fourth Proportional to 165,892.08, 248,838.32 and 41,233.08

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Solution

The fourth proportional to 165,892.08, 248,838.32 and 41,233.08 is: 61,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,892.08 : 248,838.32 = 41,233.08 : x
  2. Step 2: Convert to fraction form
    165,892.08/248,838.32 = 41,233.08/x
  3. Step 3: Cross multiply
    165,892.08x = 248,838.32 × 41,233.08
  4. Step 4: Simplify right side
    165,892.08x = 10,260,370,149.46
  5. Step 5: Solve for x
    x = 10,260,370,149.46/165,892.08
  6. Step 6: Final answer
    x = 61,849.67

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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.