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Finding the Fourth Proportional to 104,494.80, 156,742.20 and 77,883.60

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Solution

The fourth proportional to 104,494.80, 156,742.20 and 77,883.60 is: 116,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,494.80 : 156,742.20 = 77,883.60 : x
  2. Step 2: Convert to fraction form
    104,494.80/156,742.20 = 77,883.60/x
  3. Step 3: Cross multiply
    104,494.80x = 156,742.20 × 77,883.60
  4. Step 4: Simplify right side
    104,494.80x = 12,207,646,807.92
  5. Step 5: Solve for x
    x = 12,207,646,807.92/104,494.80
  6. Step 6: Final answer
    x = 116,825.40

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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.