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Finding the Fourth Proportional to 119,676.48, 164,979.36 and 83,757.12

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Solution

The fourth proportional to 119,676.48, 164,979.36 and 83,757.12 is: 115,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,676.48 : 164,979.36 = 83,757.12 : x
  2. Step 2: Convert to fraction form
    119,676.48/164,979.36 = 83,757.12/x
  3. Step 3: Cross multiply
    119,676.48x = 164,979.36 × 83,757.12
  4. Step 4: Simplify right side
    119,676.48x = 13,818,196,053.04
  5. Step 5: Solve for x
    x = 13,818,196,053.04/119,676.48
  6. Step 6: Final answer
    x = 115,462.92

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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.