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Finding the Fourth Proportional to 101,816.92, 152,664.02 and 45,646.86

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Solution

The fourth proportional to 101,816.92, 152,664.02 and 45,646.86 is: 68,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,816.92 : 152,664.02 = 45,646.86 : x
  2. Step 2: Convert to fraction form
    101,816.92/152,664.02 = 45,646.86/x
  3. Step 3: Cross multiply
    101,816.92x = 152,664.02 × 45,646.86
  4. Step 4: Simplify right side
    101,816.92x = 6,968,633,147.98
  5. Step 5: Solve for x
    x = 6,968,633,147.98/101,816.92
  6. Step 6: Final answer
    x = 68,442.78

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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.