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Finding the Fourth Proportional to 377,137.86, 565,953.06 and 140,669.70

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Solution

The fourth proportional to 377,137.86, 565,953.06 and 140,669.70 is: 211,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,137.86 : 565,953.06 = 140,669.70 : x
  2. Step 2: Convert to fraction form
    377,137.86/565,953.06 = 140,669.70/x
  3. Step 3: Cross multiply
    377,137.86x = 565,953.06 × 140,669.70
  4. Step 4: Simplify right side
    377,137.86x = 79,612,447,164.28
  5. Step 5: Solve for x
    x = 79,612,447,164.28/377,137.86
  6. Step 6: Final answer
    x = 211,096.41

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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.