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Finding the Fourth Proportional to 301,055.84, 415,456.79 and 165,091.94

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Solution

The fourth proportional to 301,055.84, 415,456.79 and 165,091.94 is: 227,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,055.84 : 415,456.79 = 165,091.94 : x
  2. Step 2: Convert to fraction form
    301,055.84/415,456.79 = 165,091.94/x
  3. Step 3: Cross multiply
    301,055.84x = 415,456.79 × 165,091.94
  4. Step 4: Simplify right side
    301,055.84x = 68,588,564,544.53
  5. Step 5: Solve for x
    x = 68,588,564,544.53/301,055.84
  6. Step 6: Final answer
    x = 227,826.72

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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.