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Finding the Fourth Proportional to 109,775.16, 151,489.89 and 59,474.16

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Solution

The fourth proportional to 109,775.16, 151,489.89 and 59,474.16 is: 82,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,775.16 : 151,489.89 = 59,474.16 : x
  2. Step 2: Convert to fraction form
    109,775.16/151,489.89 = 59,474.16/x
  3. Step 3: Cross multiply
    109,775.16x = 151,489.89 × 59,474.16
  4. Step 4: Simplify right side
    109,775.16x = 9,009,733,956.24
  5. Step 5: Solve for x
    x = 9,009,733,956.24/109,775.16
  6. Step 6: Final answer
    x = 82,074.43

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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.