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Finding the Fourth Proportional to 109,400.35, 164,006.92 and 41,980.77

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Solution

The fourth proportional to 109,400.35, 164,006.92 and 41,980.77 is: 62,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,400.35 : 164,006.92 = 41,980.77 : x
  2. Step 2: Convert to fraction form
    109,400.35/164,006.92 = 41,980.77/x
  3. Step 3: Cross multiply
    109,400.35x = 164,006.92 × 41,980.77
  4. Step 4: Simplify right side
    109,400.35x = 6,885,135,756.99
  5. Step 5: Solve for x
    x = 6,885,135,756.99/109,400.35
  6. Step 6: Final answer
    x = 62,935.23

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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.