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Finding the Fourth Proportional to 101,817.54, 152,777.21 and 45,697.77

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Solution

The fourth proportional to 101,817.54, 152,777.21 and 45,697.77 is: 68,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,817.54 : 152,777.21 = 45,697.77 : x
  2. Step 2: Convert to fraction form
    101,817.54/152,777.21 = 45,697.77/x
  3. Step 3: Cross multiply
    101,817.54x = 152,777.21 × 45,697.77
  4. Step 4: Simplify right side
    101,817.54x = 6,981,577,575.33
  5. Step 5: Solve for x
    x = 6,981,577,575.33/101,817.54
  6. Step 6: Final answer
    x = 68,569.50

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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.