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Finding the Fourth Proportional to 224,590.80, 309,860.91 and 148,147.86

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Solution

The fourth proportional to 224,590.80, 309,860.91 and 148,147.86 is: 204,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,590.80 : 309,860.91 = 148,147.86 : x
  2. Step 2: Convert to fraction form
    224,590.80/309,860.91 = 148,147.86/x
  3. Step 3: Cross multiply
    224,590.80x = 309,860.91 × 148,147.86
  4. Step 4: Simplify right side
    224,590.80x = 45,905,230,714.15
  5. Step 5: Solve for x
    x = 45,905,230,714.15/224,590.80
  6. Step 6: Final answer
    x = 204,394.97

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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.