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Finding the Fourth Proportional to 110,580.60, 165,741.30 and 82,846.20

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Solution

The fourth proportional to 110,580.60, 165,741.30 and 82,846.20 is: 124,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,580.60 : 165,741.30 = 82,846.20 : x
  2. Step 2: Convert to fraction form
    110,580.60/165,741.30 = 82,846.20/x
  3. Step 3: Cross multiply
    110,580.60x = 165,741.30 × 82,846.20
  4. Step 4: Simplify right side
    110,580.60x = 13,731,036,888.06
  5. Step 5: Solve for x
    x = 13,731,036,888.06/110,580.60
  6. Step 6: Final answer
    x = 124,172.20

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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.