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Finding the Fourth Proportional to 101,172.86, 151,759.20 and 30,095.22

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Solution

The fourth proportional to 101,172.86, 151,759.20 and 30,095.22 is: 45,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,172.86 : 151,759.20 = 30,095.22 : x
  2. Step 2: Convert to fraction form
    101,172.86/151,759.20 = 30,095.22/x
  3. Step 3: Cross multiply
    101,172.86x = 151,759.20 × 30,095.22
  4. Step 4: Simplify right side
    101,172.86x = 4,567,226,511.02
  5. Step 5: Solve for x
    x = 4,567,226,511.02/101,172.86
  6. Step 6: Final answer
    x = 45,142.80

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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.