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Finding the Fourth Proportional to 224,977.86, 337,632.59 and 106,648.74

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Solution

The fourth proportional to 224,977.86, 337,632.59 and 106,648.74 is: 160,051.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,977.86 : 337,632.59 = 106,648.74 : x
  2. Step 2: Convert to fraction form
    224,977.86/337,632.59 = 106,648.74/x
  3. Step 3: Cross multiply
    224,977.86x = 337,632.59 × 106,648.74
  4. Step 4: Simplify right side
    224,977.86x = 36,008,090,573.06
  5. Step 5: Solve for x
    x = 36,008,090,573.06/224,977.86
  6. Step 6: Final answer
    x = 160,051.71

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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.