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Finding the Fourth Proportional to 164,683.98, 227,264.31 and 92,089.44

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Solution

The fourth proportional to 164,683.98, 227,264.31 and 92,089.44 is: 127,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,683.98 : 227,264.31 = 92,089.44 : x
  2. Step 2: Convert to fraction form
    164,683.98/227,264.31 = 92,089.44/x
  3. Step 3: Cross multiply
    164,683.98x = 227,264.31 × 92,089.44
  4. Step 4: Simplify right side
    164,683.98x = 20,928,643,039.89
  5. Step 5: Solve for x
    x = 20,928,643,039.89/164,683.98
  6. Step 6: Final answer
    x = 127,083.66

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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.