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Finding the Fourth Proportional to 123,160.64, 184,772.40 and 34,414.40

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Solution

The fourth proportional to 123,160.64, 184,772.40 and 34,414.40 is: 51,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,160.64 : 184,772.40 = 34,414.40 : x
  2. Step 2: Convert to fraction form
    123,160.64/184,772.40 = 34,414.40/x
  3. Step 3: Cross multiply
    123,160.64x = 184,772.40 × 34,414.40
  4. Step 4: Simplify right side
    123,160.64x = 6,358,831,282.56
  5. Step 5: Solve for x
    x = 6,358,831,282.56/123,160.64
  6. Step 6: Final answer
    x = 51,630.39

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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.