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Finding the Fourth Proportional to 160,639.16, 221,682.56 and 89,020.36

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Solution

The fourth proportional to 160,639.16, 221,682.56 and 89,020.36 is: 122,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,639.16 : 221,682.56 = 89,020.36 : x
  2. Step 2: Convert to fraction form
    160,639.16/221,682.56 = 89,020.36/x
  3. Step 3: Cross multiply
    160,639.16x = 221,682.56 × 89,020.36
  4. Step 4: Simplify right side
    160,639.16x = 19,734,261,296.92
  5. Step 5: Solve for x
    x = 19,734,261,296.92/160,639.16
  6. Step 6: Final answer
    x = 122,848.38

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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.