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Finding the Fourth Proportional to 226,843.80, 340,265.70 and 102,427.80

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Solution

The fourth proportional to 226,843.80, 340,265.70 and 102,427.80 is: 153,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,843.80 : 340,265.70 = 102,427.80 : x
  2. Step 2: Convert to fraction form
    226,843.80/340,265.70 = 102,427.80/x
  3. Step 3: Cross multiply
    226,843.80x = 340,265.70 × 102,427.80
  4. Step 4: Simplify right side
    226,843.80x = 34,852,667,066.46
  5. Step 5: Solve for x
    x = 34,852,667,066.46/226,843.80
  6. Step 6: Final answer
    x = 153,641.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.