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Finding the Fourth Proportional to 100,477.92, 150,716.88 and 38,192.16

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Solution

The fourth proportional to 100,477.92, 150,716.88 and 38,192.16 is: 57,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,477.92 : 150,716.88 = 38,192.16 : x
  2. Step 2: Convert to fraction form
    100,477.92/150,716.88 = 38,192.16/x
  3. Step 3: Cross multiply
    100,477.92x = 150,716.88 × 38,192.16
  4. Step 4: Simplify right side
    100,477.92x = 5,756,203,195.66
  5. Step 5: Solve for x
    x = 5,756,203,195.66/100,477.92
  6. Step 6: Final answer
    x = 57,288.24

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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.