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Finding the Fourth Proportional to 208,842.81, 313,253.92 and 114,257.80

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Solution

The fourth proportional to 208,842.81, 313,253.92 and 114,257.80 is: 171,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,842.81 : 313,253.92 = 114,257.80 : x
  2. Step 2: Convert to fraction form
    208,842.81/313,253.92 = 114,257.80/x
  3. Step 3: Cross multiply
    208,842.81x = 313,253.92 × 114,257.80
  4. Step 4: Simplify right side
    208,842.81x = 35,791,701,870.21
  5. Step 5: Solve for x
    x = 35,791,701,870.21/208,842.81
  6. Step 6: Final answer
    x = 171,381.06

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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.