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Finding the Fourth Proportional to 96,305.23, 132,937.77 and 86,214.97

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Solution

The fourth proportional to 96,305.23, 132,937.77 and 86,214.97 is: 119,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,305.23 : 132,937.77 = 86,214.97 : x
  2. Step 2: Convert to fraction form
    96,305.23/132,937.77 = 86,214.97/x
  3. Step 3: Cross multiply
    96,305.23x = 132,937.77 × 86,214.97
  4. Step 4: Simplify right side
    96,305.23x = 11,461,225,852.42
  5. Step 5: Solve for x
    x = 11,461,225,852.42/96,305.23
  6. Step 6: Final answer
    x = 119,009.38

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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.