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Finding the Fourth Proportional to 213,168.86, 294,173.08 and 117,675.62

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Solution

The fourth proportional to 213,168.86, 294,173.08 and 117,675.62 is: 162,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,168.86 : 294,173.08 = 117,675.62 : x
  2. Step 2: Convert to fraction form
    213,168.86/294,173.08 = 117,675.62/x
  3. Step 3: Cross multiply
    213,168.86x = 294,173.08 × 117,675.62
  4. Step 4: Simplify right side
    213,168.86x = 34,616,999,576.31
  5. Step 5: Solve for x
    x = 34,616,999,576.31/213,168.86
  6. Step 6: Final answer
    x = 162,392.38

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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.