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Finding the Fourth Proportional to 160,646.20, 221,693.04 and 89,027.41

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Solution

The fourth proportional to 160,646.20, 221,693.04 and 89,027.41 is: 122,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,646.20 : 221,693.04 = 89,027.41 : x
  2. Step 2: Convert to fraction form
    160,646.20/221,693.04 = 89,027.41/x
  3. Step 3: Cross multiply
    160,646.20x = 221,693.04 × 89,027.41
  4. Step 4: Simplify right side
    160,646.20x = 19,736,757,166.23
  5. Step 5: Solve for x
    x = 19,736,757,166.23/160,646.20
  6. Step 6: Final answer
    x = 122,858.54

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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.