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Finding the Fourth Proportional to 105,820.92, 146,010.06 and 61,083

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Solution

The fourth proportional to 105,820.92, 146,010.06 and 61,083 is: 84,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,820.92 : 146,010.06 = 61,083 : x
  2. Step 2: Convert to fraction form
    105,820.92/146,010.06 = 61,083/x
  3. Step 3: Cross multiply
    105,820.92x = 146,010.06 × 61,083
  4. Step 4: Simplify right side
    105,820.92x = 8,918,732,494.98
  5. Step 5: Solve for x
    x = 8,918,732,494.98/105,820.92
  6. Step 6: Final answer
    x = 84,281.37

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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.