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Finding the Fourth Proportional to 110,357.10, 165,622.05 and 51,200.10

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Solution

The fourth proportional to 110,357.10, 165,622.05 and 51,200.10 is: 76,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,357.10 : 165,622.05 = 51,200.10 : x
  2. Step 2: Convert to fraction form
    110,357.10/165,622.05 = 51,200.10/x
  3. Step 3: Cross multiply
    110,357.10x = 165,622.05 × 51,200.10
  4. Step 4: Simplify right side
    110,357.10x = 8,479,865,522.21
  5. Step 5: Solve for x
    x = 8,479,865,522.21/110,357.10
  6. Step 6: Final answer
    x = 76,840.24

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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.