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Finding the Fourth Proportional to 165,940, 248,934.96 and 53,582.56

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Solution

The fourth proportional to 165,940, 248,934.96 and 53,582.56 is: 80,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,940 : 248,934.96 = 53,582.56 : x
  2. Step 2: Convert to fraction form
    165,940/248,934.96 = 53,582.56/x
  3. Step 3: Cross multiply
    165,940x = 248,934.96 × 53,582.56
  4. Step 4: Simplify right side
    165,940x = 13,338,572,430.30
  5. Step 5: Solve for x
    x = 13,338,572,430.30/165,940
  6. Step 6: Final answer
    x = 80,381.90

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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.