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Finding the Fourth Proportional to 184,251.09, 254,264.84 and 103,677

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Solution

The fourth proportional to 184,251.09, 254,264.84 and 103,677 is: 143,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,251.09 : 254,264.84 = 103,677 : x
  2. Step 2: Convert to fraction form
    184,251.09/254,264.84 = 103,677/x
  3. Step 3: Cross multiply
    184,251.09x = 254,264.84 × 103,677
  4. Step 4: Simplify right side
    184,251.09x = 26,361,415,816.68
  5. Step 5: Solve for x
    x = 26,361,415,816.68/184,251.09
  6. Step 6: Final answer
    x = 143,073.32

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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.