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Finding the Fourth Proportional to 102,100.37, 140,911.07 and 61,828.13

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Solution

The fourth proportional to 102,100.37, 140,911.07 and 61,828.13 is: 85,330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,100.37 : 140,911.07 = 61,828.13 : x
  2. Step 2: Convert to fraction form
    102,100.37/140,911.07 = 61,828.13/x
  3. Step 3: Cross multiply
    102,100.37x = 140,911.07 × 61,828.13
  4. Step 4: Simplify right side
    102,100.37x = 8,712,267,997.54
  5. Step 5: Solve for x
    x = 8,712,267,997.54/102,100.37
  6. Step 6: Final answer
    x = 85,330.43

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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.