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Finding the Fourth Proportional to 213,151.62, 294,148.22 and 117,657.48

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Solution

The fourth proportional to 213,151.62, 294,148.22 and 117,657.48 is: 162,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,151.62 : 294,148.22 = 117,657.48 : x
  2. Step 2: Convert to fraction form
    213,151.62/294,148.22 = 117,657.48/x
  3. Step 3: Cross multiply
    213,151.62x = 294,148.22 × 117,657.48
  4. Step 4: Simplify right side
    213,151.62x = 34,608,737,723.40
  5. Step 5: Solve for x
    x = 34,608,737,723.40/213,151.62
  6. Step 6: Final answer
    x = 162,366.76

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1.5x scale

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.