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Finding the Fourth Proportional to 160,664.96, 221,711.56 and 89,046.20

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Solution

The fourth proportional to 160,664.96, 221,711.56 and 89,046.20 is: 122,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,664.96 : 221,711.56 = 89,046.20 : x
  2. Step 2: Convert to fraction form
    160,664.96/221,711.56 = 89,046.20/x
  3. Step 3: Cross multiply
    160,664.96x = 221,711.56 × 89,046.20
  4. Step 4: Simplify right side
    160,664.96x = 19,742,571,914.07
  5. Step 5: Solve for x
    x = 19,742,571,914.07/160,664.96
  6. Step 6: Final answer
    x = 122,880.38

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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.