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Finding the Fourth Proportional to 105,896.96, 146,129.28 and 61,187.84

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Solution

The fourth proportional to 105,896.96, 146,129.28 and 61,187.84 is: 84,434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,896.96 : 146,129.28 = 61,187.84 : x
  2. Step 2: Convert to fraction form
    105,896.96/146,129.28 = 61,187.84/x
  3. Step 3: Cross multiply
    105,896.96x = 146,129.28 × 61,187.84
  4. Step 4: Simplify right side
    105,896.96x = 8,941,335,003.96
  5. Step 5: Solve for x
    x = 8,941,335,003.96/105,896.96
  6. Step 6: Final answer
    x = 84,434.29

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Why These Related Problems?

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