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Finding the Fourth Proportional to 227,992.86, 341,475.35 and 109,752.71

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Solution

The fourth proportional to 227,992.86, 341,475.35 and 109,752.71 is: 164,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,992.86 : 341,475.35 = 109,752.71 : x
  2. Step 2: Convert to fraction form
    227,992.86/341,475.35 = 109,752.71/x
  3. Step 3: Cross multiply
    227,992.86x = 341,475.35 × 109,752.71
  4. Step 4: Simplify right side
    227,992.86x = 37,477,842,804.56
  5. Step 5: Solve for x
    x = 37,477,842,804.56/227,992.86
  6. Step 6: Final answer
    x = 164,381.65

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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.