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Finding the Fourth Proportional to 122,895.93, 184,335.66 and 34,147.47

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Solution

The fourth proportional to 122,895.93, 184,335.66 and 34,147.47 is: 51,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,895.93 : 184,335.66 = 34,147.47 : x
  2. Step 2: Convert to fraction form
    122,895.93/184,335.66 = 34,147.47/x
  3. Step 3: Cross multiply
    122,895.93x = 184,335.66 × 34,147.47
  4. Step 4: Simplify right side
    122,895.93x = 6,294,596,419.78
  5. Step 5: Solve for x
    x = 6,294,596,419.78/122,895.93
  6. Step 6: Final answer
    x = 51,218.92

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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.