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Finding the Fourth Proportional to 100,849.86, 151,274.70 and 41,620.38

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Solution

The fourth proportional to 100,849.86, 151,274.70 and 41,620.38 is: 62,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,849.86 : 151,274.70 = 41,620.38 : x
  2. Step 2: Convert to fraction form
    100,849.86/151,274.70 = 41,620.38/x
  3. Step 3: Cross multiply
    100,849.86x = 151,274.70 × 41,620.38
  4. Step 4: Simplify right side
    100,849.86x = 6,296,110,498.39
  5. Step 5: Solve for x
    x = 6,296,110,498.39/100,849.86
  6. Step 6: Final answer
    x = 62,430.53

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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.