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Finding the Fourth Proportional to 105,809.56, 146,017.10 and 60,488.54

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Solution

The fourth proportional to 105,809.56, 146,017.10 and 60,488.54 is: 83,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,809.56 : 146,017.10 = 60,488.54 : x
  2. Step 2: Convert to fraction form
    105,809.56/146,017.10 = 60,488.54/x
  3. Step 3: Cross multiply
    105,809.56x = 146,017.10 × 60,488.54
  4. Step 4: Simplify right side
    105,809.56x = 8,832,361,194.03
  5. Step 5: Solve for x
    x = 8,832,361,194.03/105,809.56
  6. Step 6: Final answer
    x = 83,474.13

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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.