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Finding the Fourth Proportional to 160,945.14, 222,100.05 and 89,323.32

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Solution

The fourth proportional to 160,945.14, 222,100.05 and 89,323.32 is: 123,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,945.14 : 222,100.05 = 89,323.32 : x
  2. Step 2: Convert to fraction form
    160,945.14/222,100.05 = 89,323.32/x
  3. Step 3: Cross multiply
    160,945.14x = 222,100.05 × 89,323.32
  4. Step 4: Simplify right side
    160,945.14x = 19,838,713,838.17
  5. Step 5: Solve for x
    x = 19,838,713,838.17/160,945.14
  6. Step 6: Final answer
    x = 123,263.83

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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.