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Finding the Fourth Proportional to 169,378.92, 254,166.82 and 75,884.68

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Solution

The fourth proportional to 169,378.92, 254,166.82 and 75,884.68 is: 113,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,378.92 : 254,166.82 = 75,884.68 : x
  2. Step 2: Convert to fraction form
    169,378.92/254,166.82 = 75,884.68/x
  3. Step 3: Cross multiply
    169,378.92x = 254,166.82 × 75,884.68
  4. Step 4: Simplify right side
    169,378.92x = 19,287,367,802.32
  5. Step 5: Solve for x
    x = 19,287,367,802.32/169,378.92
  6. Step 6: Final answer
    x = 113,871.12

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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.