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Finding the Fourth Proportional to 227,089.86, 313,384.32 and 123,723.54

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Solution

The fourth proportional to 227,089.86, 313,384.32 and 123,723.54 is: 170,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,089.86 : 313,384.32 = 123,723.54 : x
  2. Step 2: Convert to fraction form
    227,089.86/313,384.32 = 123,723.54/x
  3. Step 3: Cross multiply
    227,089.86x = 313,384.32 × 123,723.54
  4. Step 4: Simplify right side
    227,089.86x = 38,773,017,450.89
  5. Step 5: Solve for x
    x = 38,773,017,450.89/227,089.86
  6. Step 6: Final answer
    x = 170,738.66

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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.