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Finding the Fourth Proportional to 110,405.70, 165,657.15 and 51,210.90

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Solution

The fourth proportional to 110,405.70, 165,657.15 and 51,210.90 is: 76,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,405.70 : 165,657.15 = 51,210.90 : x
  2. Step 2: Convert to fraction form
    110,405.70/165,657.15 = 51,210.90/x
  3. Step 3: Cross multiply
    110,405.70x = 165,657.15 × 51,210.90
  4. Step 4: Simplify right side
    110,405.70x = 8,483,451,742.94
  5. Step 5: Solve for x
    x = 8,483,451,742.94/110,405.70
  6. Step 6: Final answer
    x = 76,838.89

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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.