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Finding the Fourth Proportional to 160,896.18, 222,018.93 and 89,258.34

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Solution

The fourth proportional to 160,896.18, 222,018.93 and 89,258.34 is: 123,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,896.18 : 222,018.93 = 89,258.34 : x
  2. Step 2: Convert to fraction form
    160,896.18/222,018.93 = 89,258.34/x
  3. Step 3: Cross multiply
    160,896.18x = 222,018.93 × 89,258.34
  4. Step 4: Simplify right side
    160,896.18x = 19,817,041,140.38
  5. Step 5: Solve for x
    x = 19,817,041,140.38/160,896.18
  6. Step 6: Final answer
    x = 123,166.64

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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.