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Finding the Fourth Proportional to 110,276.88, 165,316.32 and 40,107

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Solution

The fourth proportional to 110,276.88, 165,316.32 and 40,107 is: 60,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,276.88 : 165,316.32 = 40,107 : x
  2. Step 2: Convert to fraction form
    110,276.88/165,316.32 = 40,107/x
  3. Step 3: Cross multiply
    110,276.88x = 165,316.32 × 40,107
  4. Step 4: Simplify right side
    110,276.88x = 6,630,341,646.24
  5. Step 5: Solve for x
    x = 6,630,341,646.24/110,276.88
  6. Step 6: Final answer
    x = 60,124.49

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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.