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Finding the Fourth Proportional to 184,652.88, 277,498.66 and 109,786.46

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Solution

The fourth proportional to 184,652.88, 277,498.66 and 109,786.46 is: 164,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,652.88 : 277,498.66 = 109,786.46 : x
  2. Step 2: Convert to fraction form
    184,652.88/277,498.66 = 109,786.46/x
  3. Step 3: Cross multiply
    184,652.88x = 277,498.66 × 109,786.46
  4. Step 4: Simplify right side
    184,652.88x = 30,465,595,536.14
  5. Step 5: Solve for x
    x = 30,465,595,536.14/184,652.88
  6. Step 6: Final answer
    x = 164,988.47

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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.