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Finding the Fourth Proportional to 301,359.26, 415,890.87 and 165,392.02

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Solution

The fourth proportional to 301,359.26, 415,890.87 and 165,392.02 is: 228,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,359.26 : 415,890.87 = 165,392.02 : x
  2. Step 2: Convert to fraction form
    301,359.26/415,890.87 = 165,392.02/x
  3. Step 3: Cross multiply
    301,359.26x = 415,890.87 × 165,392.02
  4. Step 4: Simplify right side
    301,359.26x = 68,785,031,088.86
  5. Step 5: Solve for x
    x = 68,785,031,088.86/301,359.26
  6. Step 6: Final answer
    x = 228,249.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.