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Finding the Fourth Proportional to 110,498.08, 165,916 and 105,949.12

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Solution

The fourth proportional to 110,498.08, 165,916 and 105,949.12 is: 159,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,498.08 : 165,916 = 105,949.12 : x
  2. Step 2: Convert to fraction form
    110,498.08/165,916 = 105,949.12/x
  3. Step 3: Cross multiply
    110,498.08x = 165,916 × 105,949.12
  4. Step 4: Simplify right side
    110,498.08x = 17,578,654,193.92
  5. Step 5: Solve for x
    x = 17,578,654,193.92/110,498.08
  6. Step 6: Final answer
    x = 159,085.61

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1.5x scale

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.