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Finding the Fourth Proportional to 150,185, 225,102.54 and 83,593.28

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Solution

The fourth proportional to 150,185, 225,102.54 and 83,593.28 is: 125,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,185 : 225,102.54 = 83,593.28 : x
  2. Step 2: Convert to fraction form
    150,185/225,102.54 = 83,593.28/x
  3. Step 3: Cross multiply
    150,185x = 225,102.54 × 83,593.28
  4. Step 4: Simplify right side
    150,185x = 18,817,059,654.93
  5. Step 5: Solve for x
    x = 18,817,059,654.93/150,185
  6. Step 6: Final answer
    x = 125,292.54

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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.