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Finding the Fourth Proportional to 213,009.82, 293,951.91 and 117,520.54

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Solution

The fourth proportional to 213,009.82, 293,951.91 and 117,520.54 is: 162,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,009.82 : 293,951.91 = 117,520.54 : x
  2. Step 2: Convert to fraction form
    213,009.82/293,951.91 = 117,520.54/x
  3. Step 3: Cross multiply
    213,009.82x = 293,951.91 × 117,520.54
  4. Step 4: Simplify right side
    213,009.82x = 34,545,387,197.23
  5. Step 5: Solve for x
    x = 34,545,387,197.23/213,009.82
  6. Step 6: Final answer
    x = 162,177.44

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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.