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Finding the Fourth Proportional to 213,853.76, 295,092.30 and 123,239.42

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Solution

The fourth proportional to 213,853.76, 295,092.30 and 123,239.42 is: 170,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,853.76 : 295,092.30 = 123,239.42 : x
  2. Step 2: Convert to fraction form
    213,853.76/295,092.30 = 123,239.42/x
  3. Step 3: Cross multiply
    213,853.76x = 295,092.30 × 123,239.42
  4. Step 4: Simplify right side
    213,853.76x = 36,367,003,898.47
  5. Step 5: Solve for x
    x = 36,367,003,898.47/213,853.76
  6. Step 6: Final answer
    x = 170,055.48

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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.