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Finding the Fourth Proportional to 164,538.70, 246,756.97 and 59,344

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Solution

The fourth proportional to 164,538.70, 246,756.97 and 59,344 is: 88,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,538.70 : 246,756.97 = 59,344 : x
  2. Step 2: Convert to fraction form
    164,538.70/246,756.97 = 59,344/x
  3. Step 3: Cross multiply
    164,538.70x = 246,756.97 × 59,344
  4. Step 4: Simplify right side
    164,538.70x = 14,643,545,627.68
  5. Step 5: Solve for x
    x = 14,643,545,627.68/164,538.70
  6. Step 6: Final answer
    x = 88,997.58

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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.