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Finding the Fourth Proportional to 122,874.17, 184,335.84 and 38,655.51

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Solution

The fourth proportional to 122,874.17, 184,335.84 and 38,655.51 is: 57,991.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,874.17 : 184,335.84 = 38,655.51 : x
  2. Step 2: Convert to fraction form
    122,874.17/184,335.84 = 38,655.51/x
  3. Step 3: Cross multiply
    122,874.17x = 184,335.84 × 38,655.51
  4. Step 4: Simplify right side
    122,874.17x = 7,125,595,906.48
  5. Step 5: Solve for x
    x = 7,125,595,906.48/122,874.17
  6. Step 6: Final answer
    x = 57,991.00

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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.