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Finding the Fourth Proportional to 109,518.92, 164,296.08 and 42,922.92

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Solution

The fourth proportional to 109,518.92, 164,296.08 and 42,922.92 is: 64,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,518.92 : 164,296.08 = 42,922.92 : x
  2. Step 2: Convert to fraction form
    109,518.92/164,296.08 = 42,922.92/x
  3. Step 3: Cross multiply
    109,518.92x = 164,296.08 × 42,922.92
  4. Step 4: Simplify right side
    109,518.92x = 7,052,067,498.15
  5. Step 5: Solve for x
    x = 7,052,067,498.15/109,518.92
  6. Step 6: Final answer
    x = 64,391.32

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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.