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Finding the Fourth Proportional to 123,462.63, 185,194.01 and 34,716.14

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Solution

The fourth proportional to 123,462.63, 185,194.01 and 34,716.14 is: 52,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,462.63 : 185,194.01 = 34,716.14 : x
  2. Step 2: Convert to fraction form
    123,462.63/185,194.01 = 34,716.14/x
  3. Step 3: Cross multiply
    123,462.63x = 185,194.01 × 34,716.14
  4. Step 4: Simplify right side
    123,462.63x = 6,429,220,512.76
  5. Step 5: Solve for x
    x = 6,429,220,512.76/123,462.63
  6. Step 6: Final answer
    x = 52,074.22

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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.