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Finding the Fourth Proportional to 105,806.13, 146,005.32 and 58,062.54

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Solution

The fourth proportional to 105,806.13, 146,005.32 and 58,062.54 is: 80,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,806.13 : 146,005.32 = 58,062.54 : x
  2. Step 2: Convert to fraction form
    105,806.13/146,005.32 = 58,062.54/x
  3. Step 3: Cross multiply
    105,806.13x = 146,005.32 × 58,062.54
  4. Step 4: Simplify right side
    105,806.13x = 8,477,439,732.71
  5. Step 5: Solve for x
    x = 8,477,439,732.71/105,806.13
  6. Step 6: Final answer
    x = 80,122.39

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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.