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Finding the Fourth Proportional to 184,389.82, 254,465.79 and 102,717.97

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Solution

The fourth proportional to 184,389.82, 254,465.79 and 102,717.97 is: 141,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,389.82 : 254,465.79 = 102,717.97 : x
  2. Step 2: Convert to fraction form
    184,389.82/254,465.79 = 102,717.97/x
  3. Step 3: Cross multiply
    184,389.82x = 254,465.79 × 102,717.97
  4. Step 4: Simplify right side
    184,389.82x = 26,138,207,597.33
  5. Step 5: Solve for x
    x = 26,138,207,597.33/184,389.82
  6. Step 6: Final answer
    x = 141,755.16

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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.