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Finding the Fourth Proportional to 165,311.03, 227,918.03 and 107,064.86

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Solution

The fourth proportional to 165,311.03, 227,918.03 and 107,064.86 is: 147,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,311.03 : 227,918.03 = 107,064.86 : x
  2. Step 2: Convert to fraction form
    165,311.03/227,918.03 = 107,064.86/x
  3. Step 3: Cross multiply
    165,311.03x = 227,918.03 × 107,064.86
  4. Step 4: Simplify right side
    165,311.03x = 24,402,010,900.75
  5. Step 5: Solve for x
    x = 24,402,010,900.75/165,311.03
  6. Step 6: Final answer
    x = 147,612.72

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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.