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Finding the Fourth Proportional to 213,138.93, 294,138.86 and 116,348.53

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Solution

The fourth proportional to 213,138.93, 294,138.86 and 116,348.53 is: 160,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,138.93 : 294,138.86 = 116,348.53 : x
  2. Step 2: Convert to fraction form
    213,138.93/294,138.86 = 116,348.53/x
  3. Step 3: Cross multiply
    213,138.93x = 294,138.86 × 116,348.53
  4. Step 4: Simplify right side
    213,138.93x = 34,222,623,976.88
  5. Step 5: Solve for x
    x = 34,222,623,976.88/213,138.93
  6. Step 6: Final answer
    x = 160,564.87

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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.