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Finding the Fourth Proportional to 110,489.60, 165,539.20 and 106,835.20

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Solution

The fourth proportional to 110,489.60, 165,539.20 and 106,835.20 is: 160,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,489.60 : 165,539.20 = 106,835.20 : x
  2. Step 2: Convert to fraction form
    110,489.60/165,539.20 = 106,835.20/x
  3. Step 3: Cross multiply
    110,489.60x = 165,539.20 × 106,835.20
  4. Step 4: Simplify right side
    110,489.60x = 17,685,413,539.84
  5. Step 5: Solve for x
    x = 17,685,413,539.84/110,489.60
  6. Step 6: Final answer
    x = 160,064.06

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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.