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Finding the Fourth Proportional to 123,070.78, 184,610.22 and 34,316.79

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Solution

The fourth proportional to 123,070.78, 184,610.22 and 34,316.79 is: 51,476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,070.78 : 184,610.22 = 34,316.79 : x
  2. Step 2: Convert to fraction form
    123,070.78/184,610.22 = 34,316.79/x
  3. Step 3: Cross multiply
    123,070.78x = 184,610.22 × 34,316.79
  4. Step 4: Simplify right side
    123,070.78x = 6,335,230,151.59
  5. Step 5: Solve for x
    x = 6,335,230,151.59/123,070.78
  6. Step 6: Final answer
    x = 51,476.31

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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.