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Finding the Fourth Proportional to 377,101.86, 565,565.31 and 140,555.94

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Solution

The fourth proportional to 377,101.86, 565,565.31 and 140,555.94 is: 210,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,101.86 : 565,565.31 = 140,555.94 : x
  2. Step 2: Convert to fraction form
    377,101.86/565,565.31 = 140,555.94/x
  3. Step 3: Cross multiply
    377,101.86x = 565,565.31 × 140,555.94
  4. Step 4: Simplify right side
    377,101.86x = 79,493,563,778.44
  5. Step 5: Solve for x
    x = 79,493,563,778.44/377,101.86
  6. Step 6: Final answer
    x = 210,801.30

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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.