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Finding the Fourth Proportional to 213,227.86, 294,255.87 and 116,432.39

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Solution

The fourth proportional to 213,227.86, 294,255.87 and 116,432.39 is: 160,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,227.86 : 294,255.87 = 116,432.39 : x
  2. Step 2: Convert to fraction form
    213,227.86/294,255.87 = 116,432.39/x
  3. Step 3: Cross multiply
    213,227.86x = 294,255.87 × 116,432.39
  4. Step 4: Simplify right side
    213,227.86x = 34,260,912,162.19
  5. Step 5: Solve for x
    x = 34,260,912,162.19/213,227.86
  6. Step 6: Final answer
    x = 160,677.47

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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.