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Finding the Fourth Proportional to 110,505.60, 165,588.30 and 82,293.30

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Solution

The fourth proportional to 110,505.60, 165,588.30 and 82,293.30 is: 123,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,505.60 : 165,588.30 = 82,293.30 : x
  2. Step 2: Convert to fraction form
    110,505.60/165,588.30 = 82,293.30/x
  3. Step 3: Cross multiply
    110,505.60x = 165,588.30 × 82,293.30
  4. Step 4: Simplify right side
    110,505.60x = 13,626,807,648.39
  5. Step 5: Solve for x
    x = 13,626,807,648.39/110,505.60
  6. Step 6: Final answer
    x = 123,313.28

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1.5x scale

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.