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Finding the Fourth Proportional to 110,494.60, 165,741.90 and 80,427.40

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Solution

The fourth proportional to 110,494.60, 165,741.90 and 80,427.40 is: 120,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,494.60 : 165,741.90 = 80,427.40 : x
  2. Step 2: Convert to fraction form
    110,494.60/165,741.90 = 80,427.40/x
  3. Step 3: Cross multiply
    110,494.60x = 165,741.90 × 80,427.40
  4. Step 4: Simplify right side
    110,494.60x = 13,330,190,088.06
  5. Step 5: Solve for x
    x = 13,330,190,088.06/110,494.60
  6. Step 6: Final answer
    x = 120,641.10

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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.