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Finding the Fourth Proportional to 100,398.24, 150,666.24 and 34,734.24

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Solution

The fourth proportional to 100,398.24, 150,666.24 and 34,734.24 is: 52,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398.24 : 150,666.24 = 34,734.24 : x
  2. Step 2: Convert to fraction form
    100,398.24/150,666.24 = 34,734.24/x
  3. Step 3: Cross multiply
    100,398.24x = 150,666.24 × 34,734.24
  4. Step 4: Simplify right side
    100,398.24x = 5,233,277,340.06
  5. Step 5: Solve for x
    x = 5,233,277,340.06/100,398.24
  6. Step 6: Final answer
    x = 52,125.19

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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.