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Finding the Fourth Proportional to 165,782.62, 248,675.64 and 132,712.93

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Solution

The fourth proportional to 165,782.62, 248,675.64 and 132,712.93 is: 199,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,782.62 : 248,675.64 = 132,712.93 : x
  2. Step 2: Convert to fraction form
    165,782.62/248,675.64 = 132,712.93/x
  3. Step 3: Cross multiply
    165,782.62x = 248,675.64 × 132,712.93
  4. Step 4: Simplify right side
    165,782.62x = 33,002,472,804.03
  5. Step 5: Solve for x
    x = 33,002,472,804.03/165,782.62
  6. Step 6: Final answer
    x = 199,070.76

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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.