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Finding the Fourth Proportional to 109,395, 150,965.18 and 59,094

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Solution

The fourth proportional to 109,395, 150,965.18 and 59,094 is: 81,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,395 : 150,965.18 = 59,094 : x
  2. Step 2: Convert to fraction form
    109,395/150,965.18 = 59,094/x
  3. Step 3: Cross multiply
    109,395x = 150,965.18 × 59,094
  4. Step 4: Simplify right side
    109,395x = 8,921,136,346.92
  5. Step 5: Solve for x
    x = 8,921,136,346.92/109,395
  6. Step 6: Final answer
    x = 81,549.76

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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.