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Finding the Fourth Proportional to 110,230.27, 165,341.76 and 47,900.77

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Solution

The fourth proportional to 110,230.27, 165,341.76 and 47,900.77 is: 71,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,230.27 : 165,341.76 = 47,900.77 : x
  2. Step 2: Convert to fraction form
    110,230.27/165,341.76 = 47,900.77/x
  3. Step 3: Cross multiply
    110,230.27x = 165,341.76 × 47,900.77
  4. Step 4: Simplify right side
    110,230.27x = 7,919,997,617.16
  5. Step 5: Solve for x
    x = 7,919,997,617.16/110,230.27
  6. Step 6: Final answer
    x = 71,849.57

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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.