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Finding the Fourth Proportional to 123,702, 185,307.24 and 61,181.68

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Solution

The fourth proportional to 123,702, 185,307.24 and 61,181.68 is: 91,650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,702 : 185,307.24 = 61,181.68 : x
  2. Step 2: Convert to fraction form
    123,702/185,307.24 = 61,181.68/x
  3. Step 3: Cross multiply
    123,702x = 185,307.24 × 61,181.68
  4. Step 4: Simplify right side
    123,702x = 11,337,408,259.36
  5. Step 5: Solve for x
    x = 11,337,408,259.36/123,702
  6. Step 6: Final answer
    x = 91,650.97

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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.