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Finding the Fourth Proportional to 184,712.91, 254,903.86 and 99,829.97

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Solution

The fourth proportional to 184,712.91, 254,903.86 and 99,829.97 is: 137,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,712.91 : 254,903.86 = 99,829.97 : x
  2. Step 2: Convert to fraction form
    184,712.91/254,903.86 = 99,829.97/x
  3. Step 3: Cross multiply
    184,712.91x = 254,903.86 × 99,829.97
  4. Step 4: Simplify right side
    184,712.91x = 25,447,044,502.84
  5. Step 5: Solve for x
    x = 25,447,044,502.84/184,712.91
  6. Step 6: Final answer
    x = 137,765.38

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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.