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Finding the Fourth Proportional to 165,866.10, 248,799.15 and 41,207.10

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Solution

The fourth proportional to 165,866.10, 248,799.15 and 41,207.10 is: 61,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,866.10 : 248,799.15 = 41,207.10 : x
  2. Step 2: Convert to fraction form
    165,866.10/248,799.15 = 41,207.10/x
  3. Step 3: Cross multiply
    165,866.10x = 248,799.15 × 41,207.10
  4. Step 4: Simplify right side
    165,866.10x = 10,252,291,453.97
  5. Step 5: Solve for x
    x = 10,252,291,453.97/165,866.10
  6. Step 6: Final answer
    x = 61,810.65

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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.