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Finding the Fourth Proportional to 123,532.50, 185,546.70 and 73,709.82

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Solution

The fourth proportional to 123,532.50, 185,546.70 and 73,709.82 is: 110,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,532.50 : 185,546.70 = 73,709.82 : x
  2. Step 2: Convert to fraction form
    123,532.50/185,546.70 = 73,709.82/x
  3. Step 3: Cross multiply
    123,532.50x = 185,546.70 × 73,709.82
  4. Step 4: Simplify right side
    123,532.50x = 13,676,613,858.59
  5. Step 5: Solve for x
    x = 13,676,613,858.59/123,532.50
  6. Step 6: Final answer
    x = 110,712.68

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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.