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Finding the Fourth Proportional to 160,627.92, 221,770.56 and 103,293

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Solution

The fourth proportional to 160,627.92, 221,770.56 and 103,293 is: 142,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,627.92 : 221,770.56 = 103,293 : x
  2. Step 2: Convert to fraction form
    160,627.92/221,770.56 = 103,293/x
  3. Step 3: Cross multiply
    160,627.92x = 221,770.56 × 103,293
  4. Step 4: Simplify right side
    160,627.92x = 22,907,346,454.08
  5. Step 5: Solve for x
    x = 22,907,346,454.08/160,627.92
  6. Step 6: Final answer
    x = 142,611.24

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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.