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Finding the Fourth Proportional to 123,165.06, 184,747.98 and 34,417.98

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Solution

The fourth proportional to 123,165.06, 184,747.98 and 34,417.98 is: 51,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,165.06 : 184,747.98 = 34,417.98 : x
  2. Step 2: Convert to fraction form
    123,165.06/184,747.98 = 34,417.98/x
  3. Step 3: Cross multiply
    123,165.06x = 184,747.98 × 34,417.98
  4. Step 4: Simplify right side
    123,165.06x = 6,358,652,280.68
  5. Step 5: Solve for x
    x = 6,358,652,280.68/123,165.06
  6. Step 6: Final answer
    x = 51,627.08

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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.