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Finding the Fourth Proportional to 160,914.42, 222,064.34 and 89,299.08

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Solution

The fourth proportional to 160,914.42, 222,064.34 and 89,299.08 is: 123,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,914.42 : 222,064.34 = 89,299.08 : x
  2. Step 2: Convert to fraction form
    160,914.42/222,064.34 = 89,299.08/x
  3. Step 3: Cross multiply
    160,914.42x = 222,064.34 × 89,299.08
  4. Step 4: Simplify right side
    160,914.42x = 19,830,140,816.31
  5. Step 5: Solve for x
    x = 19,830,140,816.31/160,914.42
  6. Step 6: Final answer
    x = 123,234.08

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