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Finding the Fourth Proportional to 160,802.92, 221,918.70 and 89,185.96

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Solution

The fourth proportional to 160,802.92, 221,918.70 and 89,185.96 is: 123,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,802.92 : 221,918.70 = 89,185.96 : x
  2. Step 2: Convert to fraction form
    160,802.92/221,918.70 = 89,185.96/x
  3. Step 3: Cross multiply
    160,802.92x = 221,918.70 × 89,185.96
  4. Step 4: Simplify right side
    160,802.92x = 19,792,032,301.45
  5. Step 5: Solve for x
    x = 19,792,032,301.45/160,802.92
  6. Step 6: Final answer
    x = 123,082.54

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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.