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Finding the Fourth Proportional to 213,489, 294,613.74 and 117,994.86

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Solution

The fourth proportional to 213,489, 294,613.74 and 117,994.86 is: 162,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,489 : 294,613.74 = 117,994.86 : x
  2. Step 2: Convert to fraction form
    213,489/294,613.74 = 117,994.86/x
  3. Step 3: Cross multiply
    213,489x = 294,613.74 × 117,994.86
  4. Step 4: Simplify right side
    213,489x = 34,762,907,005.38
  5. Step 5: Solve for x
    x = 34,762,907,005.38/213,489
  6. Step 6: Final answer
    x = 162,832.31

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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.