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Finding the Fourth Proportional to 165,967.68, 248,951.67 and 71,136.32

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Solution

The fourth proportional to 165,967.68, 248,951.67 and 71,136.32 is: 106,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,967.68 : 248,951.67 = 71,136.32 : x
  2. Step 2: Convert to fraction form
    165,967.68/248,951.67 = 71,136.32/x
  3. Step 3: Cross multiply
    165,967.68x = 248,951.67 × 71,136.32
  4. Step 4: Simplify right side
    165,967.68x = 17,709,506,284.03
  5. Step 5: Solve for x
    x = 17,709,506,284.03/165,967.68
  6. Step 6: Final answer
    x = 106,704.55

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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.