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Finding the Fourth Proportional to 165,368.52, 248,047.92 and 71,874

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Solution

The fourth proportional to 165,368.52, 248,047.92 and 71,874 is: 107,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,368.52 : 248,047.92 = 71,874 : x
  2. Step 2: Convert to fraction form
    165,368.52/248,047.92 = 71,874/x
  3. Step 3: Cross multiply
    165,368.52x = 248,047.92 × 71,874
  4. Step 4: Simplify right side
    165,368.52x = 17,828,196,202.08
  5. Step 5: Solve for x
    x = 17,828,196,202.08/165,368.52
  6. Step 6: Final answer
    x = 107,808.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.