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Finding the Fourth Proportional to 164,584.71, 246,690.68 and 75,654.63

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Solution

The fourth proportional to 164,584.71, 246,690.68 and 75,654.63 is: 113,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,584.71 : 246,690.68 = 75,654.63 : x
  2. Step 2: Convert to fraction form
    164,584.71/246,690.68 = 75,654.63/x
  3. Step 3: Cross multiply
    164,584.71x = 246,690.68 × 75,654.63
  4. Step 4: Simplify right side
    164,584.71x = 18,663,291,741.58
  5. Step 5: Solve for x
    x = 18,663,291,741.58/164,584.71
  6. Step 6: Final answer
    x = 113,396.27

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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.