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Finding the Fourth Proportional to 234,290.25, 323,378.87 and 133,746.57

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Solution

The fourth proportional to 234,290.25, 323,378.87 and 133,746.57 is: 184,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,290.25 : 323,378.87 = 133,746.57 : x
  2. Step 2: Convert to fraction form
    234,290.25/323,378.87 = 133,746.57/x
  3. Step 3: Cross multiply
    234,290.25x = 323,378.87 × 133,746.57
  4. Step 4: Simplify right side
    234,290.25x = 43,250,814,004.24
  5. Step 5: Solve for x
    x = 43,250,814,004.24/234,290.25
  6. Step 6: Final answer
    x = 184,603.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.