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Finding the Fourth Proportional to 165,858.83, 248,717.16 and 77,103.08

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Solution

The fourth proportional to 165,858.83, 248,717.16 and 77,103.08 is: 115,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,858.83 : 248,717.16 = 77,103.08 : x
  2. Step 2: Convert to fraction form
    165,858.83/248,717.16 = 77,103.08/x
  3. Step 3: Cross multiply
    165,858.83x = 248,717.16 × 77,103.08
  4. Step 4: Simplify right side
    165,858.83x = 19,176,859,084.85
  5. Step 5: Solve for x
    x = 19,176,859,084.85/165,858.83
  6. Step 6: Final answer
    x = 115,621.57

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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.