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Finding the Fourth Proportional to 222,782.76, 334,168.61 and 65,012.58

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Solution

The fourth proportional to 222,782.76, 334,168.61 and 65,012.58 is: 97,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,782.76 : 334,168.61 = 65,012.58 : x
  2. Step 2: Convert to fraction form
    222,782.76/334,168.61 = 65,012.58/x
  3. Step 3: Cross multiply
    222,782.76x = 334,168.61 × 65,012.58
  4. Step 4: Simplify right side
    222,782.76x = 21,725,163,166.05
  5. Step 5: Solve for x
    x = 21,725,163,166.05/222,782.76
  6. Step 6: Final answer
    x = 97,517.25

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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.