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Finding the Fourth Proportional to 137,192.73, 205,648.75 and 92,824.17

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Solution

The fourth proportional to 137,192.73, 205,648.75 and 92,824.17 is: 139,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,192.73 : 205,648.75 = 92,824.17 : x
  2. Step 2: Convert to fraction form
    137,192.73/205,648.75 = 92,824.17/x
  3. Step 3: Cross multiply
    137,192.73x = 205,648.75 × 92,824.17
  4. Step 4: Simplify right side
    137,192.73x = 19,089,174,530.29
  5. Step 5: Solve for x
    x = 19,089,174,530.29/137,192.73
  6. Step 6: Final answer
    x = 139,141.30

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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.