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Finding the Fourth Proportional to 123,222.35, 184,824.40 and 34,473.89

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Solution

The fourth proportional to 123,222.35, 184,824.40 and 34,473.89 is: 51,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,222.35 : 184,824.40 = 34,473.89 : x
  2. Step 2: Convert to fraction form
    123,222.35/184,824.40 = 34,473.89/x
  3. Step 3: Cross multiply
    123,222.35x = 184,824.40 × 34,473.89
  4. Step 4: Simplify right side
    123,222.35x = 6,371,616,034.92
  5. Step 5: Solve for x
    x = 6,371,616,034.92/123,222.35
  6. Step 6: Final answer
    x = 51,708.28

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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.