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Finding the Fourth Proportional to 106,997.64, 147,654.78 and 59,250.84

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Solution

The fourth proportional to 106,997.64, 147,654.78 and 59,250.84 is: 81,765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,997.64 : 147,654.78 = 59,250.84 : x
  2. Step 2: Convert to fraction form
    106,997.64/147,654.78 = 59,250.84/x
  3. Step 3: Cross multiply
    106,997.64x = 147,654.78 × 59,250.84
  4. Step 4: Simplify right side
    106,997.64x = 8,748,669,745.02
  5. Step 5: Solve for x
    x = 8,748,669,745.02/106,997.64
  6. Step 6: Final answer
    x = 81,765.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.