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Finding the Fourth Proportional to 160,722.90, 221,802.84 and 89,109.58

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Solution

The fourth proportional to 160,722.90, 221,802.84 and 89,109.58 is: 122,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,722.90 : 221,802.84 = 89,109.58 : x
  2. Step 2: Convert to fraction form
    160,722.90/221,802.84 = 89,109.58/x
  3. Step 3: Cross multiply
    160,722.90x = 221,802.84 × 89,109.58
  4. Step 4: Simplify right side
    160,722.90x = 19,764,757,915.21
  5. Step 5: Solve for x
    x = 19,764,757,915.21/160,722.90
  6. Step 6: Final answer
    x = 122,974.12

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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.