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Finding the Fourth Proportional to 106,092.23, 146,409.05 and 60,774.17

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Solution

The fourth proportional to 106,092.23, 146,409.05 and 60,774.17 is: 83,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,092.23 : 146,409.05 = 60,774.17 : x
  2. Step 2: Convert to fraction form
    106,092.23/146,409.05 = 60,774.17/x
  3. Step 3: Cross multiply
    106,092.23x = 146,409.05 × 60,774.17
  4. Step 4: Simplify right side
    106,092.23x = 8,897,887,914.13
  5. Step 5: Solve for x
    x = 8,897,887,914.13/106,092.23
  6. Step 6: Final answer
    x = 83,869.36

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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.