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Finding the Fourth Proportional to 160,258.20, 221,150.80 and 88,638

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Solution

The fourth proportional to 160,258.20, 221,150.80 and 88,638 is: 122,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,258.20 : 221,150.80 = 88,638 : x
  2. Step 2: Convert to fraction form
    160,258.20/221,150.80 = 88,638/x
  3. Step 3: Cross multiply
    160,258.20x = 221,150.80 × 88,638
  4. Step 4: Simplify right side
    160,258.20x = 19,602,364,610.40
  5. Step 5: Solve for x
    x = 19,602,364,610.40/160,258.20
  6. Step 6: Final answer
    x = 122,317.39

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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.