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Finding the Fourth Proportional to 226,886.96, 340,367.34 and 77,140.64

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Solution

The fourth proportional to 226,886.96, 340,367.34 and 77,140.64 is: 115,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,886.96 : 340,367.34 = 77,140.64 : x
  2. Step 2: Convert to fraction form
    226,886.96/340,367.34 = 77,140.64/x
  3. Step 3: Cross multiply
    226,886.96x = 340,367.34 × 77,140.64
  4. Step 4: Simplify right side
    226,886.96x = 26,256,154,442.70
  5. Step 5: Solve for x
    x = 26,256,154,442.70/226,886.96
  6. Step 6: Final answer
    x = 115,723.51

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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.