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Finding the Fourth Proportional to 80,965.60, 121,405.20 and 34,165.60

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Solution

The fourth proportional to 80,965.60, 121,405.20 and 34,165.60 is: 51,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,965.60 : 121,405.20 = 34,165.60 : x
  2. Step 2: Convert to fraction form
    80,965.60/121,405.20 = 34,165.60/x
  3. Step 3: Cross multiply
    80,965.60x = 121,405.20 × 34,165.60
  4. Step 4: Simplify right side
    80,965.60x = 4,147,881,501.12
  5. Step 5: Solve for x
    x = 4,147,881,501.12/80,965.60
  6. Step 6: Final answer
    x = 51,230.17

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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.