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Finding the Fourth Proportional to 184,648.25, 254,829.17 and 102,988.10

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Solution

The fourth proportional to 184,648.25, 254,829.17 and 102,988.10 is: 142,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,648.25 : 254,829.17 = 102,988.10 : x
  2. Step 2: Convert to fraction form
    184,648.25/254,829.17 = 102,988.10/x
  3. Step 3: Cross multiply
    184,648.25x = 254,829.17 × 102,988.10
  4. Step 4: Simplify right side
    184,648.25x = 26,244,372,042.88
  5. Step 5: Solve for x
    x = 26,244,372,042.88/184,648.25
  6. Step 6: Final answer
    x = 142,131.71

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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.