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Finding the Fourth Proportional to 184,480.72, 276,721.14 and 142,422.16

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Solution

The fourth proportional to 184,480.72, 276,721.14 and 142,422.16 is: 213,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,480.72 : 276,721.14 = 142,422.16 : x
  2. Step 2: Convert to fraction form
    184,480.72/276,721.14 = 142,422.16/x
  3. Step 3: Cross multiply
    184,480.72x = 276,721.14 × 142,422.16
  4. Step 4: Simplify right side
    184,480.72x = 39,411,222,476.46
  5. Step 5: Solve for x
    x = 39,411,222,476.46/184,480.72
  6. Step 6: Final answer
    x = 213,633.29

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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.