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Finding the Fourth Proportional to 160,898.20, 222,041.04 and 89,284.88

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Solution

The fourth proportional to 160,898.20, 222,041.04 and 89,284.88 is: 123,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,898.20 : 222,041.04 = 89,284.88 : x
  2. Step 2: Convert to fraction form
    160,898.20/222,041.04 = 89,284.88/x
  3. Step 3: Cross multiply
    160,898.20x = 222,041.04 × 89,284.88
  4. Step 4: Simplify right side
    160,898.20x = 19,824,907,611.48
  5. Step 5: Solve for x
    x = 19,824,907,611.48/160,898.20
  6. Step 6: Final answer
    x = 123,213.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.