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Finding the Fourth Proportional to 165,771.76, 248,612.08 and 45,800

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Solution

The fourth proportional to 165,771.76, 248,612.08 and 45,800 is: 68,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,771.76 : 248,612.08 = 45,800 : x
  2. Step 2: Convert to fraction form
    165,771.76/248,612.08 = 45,800/x
  3. Step 3: Cross multiply
    165,771.76x = 248,612.08 × 45,800
  4. Step 4: Simplify right side
    165,771.76x = 11,386,433,264
  5. Step 5: Solve for x
    x = 11,386,433,264/165,771.76
  6. Step 6: Final answer
    x = 68,687.41

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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.