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Finding the Fourth Proportional to 105,887.31, 146,025.48 and 84,448.38

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Solution

The fourth proportional to 105,887.31, 146,025.48 and 84,448.38 is: 116,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,887.31 : 146,025.48 = 84,448.38 : x
  2. Step 2: Convert to fraction form
    105,887.31/146,025.48 = 84,448.38/x
  3. Step 3: Cross multiply
    105,887.31x = 146,025.48 × 84,448.38
  4. Step 4: Simplify right side
    105,887.31x = 12,331,615,224.72
  5. Step 5: Solve for x
    x = 12,331,615,224.72/105,887.31
  6. Step 6: Final answer
    x = 116,459.80

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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.