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Finding the Fourth Proportional to 110,511.60, 165,853.80 and 51,354.60

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Solution

The fourth proportional to 110,511.60, 165,853.80 and 51,354.60 is: 77,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,511.60 : 165,853.80 = 51,354.60 : x
  2. Step 2: Convert to fraction form
    110,511.60/165,853.80 = 51,354.60/x
  3. Step 3: Cross multiply
    110,511.60x = 165,853.80 × 51,354.60
  4. Step 4: Simplify right side
    110,511.60x = 8,517,355,557.48
  5. Step 5: Solve for x
    x = 8,517,355,557.48/110,511.60
  6. Step 6: Final answer
    x = 77,072.05

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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.