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Finding the Fourth Proportional to 208,869.44, 313,304.16 and 61,125.44

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Solution

The fourth proportional to 208,869.44, 313,304.16 and 61,125.44 is: 91,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,869.44 : 313,304.16 = 61,125.44 : x
  2. Step 2: Convert to fraction form
    208,869.44/313,304.16 = 61,125.44/x
  3. Step 3: Cross multiply
    208,869.44x = 313,304.16 × 61,125.44
  4. Step 4: Simplify right side
    208,869.44x = 19,150,854,633.83
  5. Step 5: Solve for x
    x = 19,150,854,633.83/208,869.44
  6. Step 6: Final answer
    x = 91,688.16

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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.