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Finding the Fourth Proportional to 160,180.50, 221,065.38 and 92,200.32

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Solution

The fourth proportional to 160,180.50, 221,065.38 and 92,200.32 is: 127,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,180.50 : 221,065.38 = 92,200.32 : x
  2. Step 2: Convert to fraction form
    160,180.50/221,065.38 = 92,200.32/x
  3. Step 3: Cross multiply
    160,180.50x = 221,065.38 × 92,200.32
  4. Step 4: Simplify right side
    160,180.50x = 20,382,298,776.92
  5. Step 5: Solve for x
    x = 20,382,298,776.92/160,180.50
  6. Step 6: Final answer
    x = 127,245.82

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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.