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Finding the Fourth Proportional to 100,215.84, 150,323.22 and 25,335.96

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Solution

The fourth proportional to 100,215.84, 150,323.22 and 25,335.96 is: 38,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,215.84 : 150,323.22 = 25,335.96 : x
  2. Step 2: Convert to fraction form
    100,215.84/150,323.22 = 25,335.96/x
  3. Step 3: Cross multiply
    100,215.84x = 150,323.22 × 25,335.96
  4. Step 4: Simplify right side
    100,215.84x = 3,808,583,088.99
  5. Step 5: Solve for x
    x = 3,808,583,088.99/100,215.84
  6. Step 6: Final answer
    x = 38,003.80

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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.