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Finding the Fourth Proportional to 226,359.54, 312,394.77 and 145,954.44

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Solution

The fourth proportional to 226,359.54, 312,394.77 and 145,954.44 is: 201,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,359.54 : 312,394.77 = 145,954.44 : x
  2. Step 2: Convert to fraction form
    226,359.54/312,394.77 = 145,954.44/x
  3. Step 3: Cross multiply
    226,359.54x = 312,394.77 × 145,954.44
  4. Step 4: Simplify right side
    226,359.54x = 45,595,403,714.28
  5. Step 5: Solve for x
    x = 45,595,403,714.28/226,359.54
  6. Step 6: Final answer
    x = 201,429.12

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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.