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Finding the Fourth Proportional to 105,833.80, 146,054.10 and 60,495.40

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Solution

The fourth proportional to 105,833.80, 146,054.10 and 60,495.40 is: 83,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,833.80 : 146,054.10 = 60,495.40 : x
  2. Step 2: Convert to fraction form
    105,833.80/146,054.10 = 60,495.40/x
  3. Step 3: Cross multiply
    105,833.80x = 146,054.10 × 60,495.40
  4. Step 4: Simplify right side
    105,833.80x = 8,835,601,201.14
  5. Step 5: Solve for x
    x = 8,835,601,201.14/105,833.80
  6. Step 6: Final answer
    x = 83,485.63

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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.