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Finding the Fourth Proportional to 106,092.41, 146,409.31 and 60,774.36

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Solution

The fourth proportional to 106,092.41, 146,409.31 and 60,774.36 is: 83,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,092.41 : 146,409.31 = 60,774.36 : x
  2. Step 2: Convert to fraction form
    106,092.41/146,409.31 = 60,774.36/x
  3. Step 3: Cross multiply
    106,092.41x = 146,409.31 × 60,774.36
  4. Step 4: Simplify right side
    106,092.41x = 8,897,931,381.25
  5. Step 5: Solve for x
    x = 8,897,931,381.25/106,092.41
  6. Step 6: Final answer
    x = 83,869.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.