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Finding the Fourth Proportional to 227,603.92, 314,091.64 and 132,119.52

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Solution

The fourth proportional to 227,603.92, 314,091.64 and 132,119.52 is: 182,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,603.92 : 314,091.64 = 132,119.52 : x
  2. Step 2: Convert to fraction form
    227,603.92/314,091.64 = 132,119.52/x
  3. Step 3: Cross multiply
    227,603.92x = 314,091.64 × 132,119.52
  4. Step 4: Simplify right side
    227,603.92x = 41,497,636,712.81
  5. Step 5: Solve for x
    x = 41,497,636,712.81/227,603.92
  6. Step 6: Final answer
    x = 182,323.91

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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.