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Finding the Fourth Proportional to 123,172.57, 184,758.86 and 29,678.32

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Solution

The fourth proportional to 123,172.57, 184,758.86 and 29,678.32 is: 44,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,172.57 : 184,758.86 = 29,678.32 : x
  2. Step 2: Convert to fraction form
    123,172.57/184,758.86 = 29,678.32/x
  3. Step 3: Cross multiply
    123,172.57x = 184,758.86 × 29,678.32
  4. Step 4: Simplify right side
    123,172.57x = 5,483,332,569.92
  5. Step 5: Solve for x
    x = 5,483,332,569.92/123,172.57
  6. Step 6: Final answer
    x = 44,517.48

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1.5x scale

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.