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Finding the Fourth Proportional to 160,005.45, 220,813.91 and 92,022.38

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Solution

The fourth proportional to 160,005.45, 220,813.91 and 92,022.38 is: 126,994.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,005.45 : 220,813.91 = 92,022.38 : x
  2. Step 2: Convert to fraction form
    160,005.45/220,813.91 = 92,022.38/x
  3. Step 3: Cross multiply
    160,005.45x = 220,813.91 × 92,022.38
  4. Step 4: Simplify right side
    160,005.45x = 20,319,819,971.12
  5. Step 5: Solve for x
    x = 20,319,819,971.12/160,005.45
  6. Step 6: Final answer
    x = 126,994.55

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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.