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Finding the Fourth Proportional to 104,494.40, 156,741.60 and 75,188.60

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Solution

The fourth proportional to 104,494.40, 156,741.60 and 75,188.60 is: 112,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,494.40 : 156,741.60 = 75,188.60 : x
  2. Step 2: Convert to fraction form
    104,494.40/156,741.60 = 75,188.60/x
  3. Step 3: Cross multiply
    104,494.40x = 156,741.60 × 75,188.60
  4. Step 4: Simplify right side
    104,494.40x = 11,785,181,465.76
  5. Step 5: Solve for x
    x = 11,785,181,465.76/104,494.40
  6. Step 6: Final answer
    x = 112,782.90

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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.