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Finding the Fourth Proportional to 117,741.20, 176,208.60 and 71,027.60

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Solution

The fourth proportional to 117,741.20, 176,208.60 and 71,027.60 is: 106,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,741.20 : 176,208.60 = 71,027.60 : x
  2. Step 2: Convert to fraction form
    117,741.20/176,208.60 = 71,027.60/x
  3. Step 3: Cross multiply
    117,741.20x = 176,208.60 × 71,027.60
  4. Step 4: Simplify right side
    117,741.20x = 12,515,673,957.36
  5. Step 5: Solve for x
    x = 12,515,673,957.36/117,741.20
  6. Step 6: Final answer
    x = 106,298.17

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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.