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Finding the Fourth Proportional to 105,840.32, 146,061.36 and 58,098.11

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Solution

The fourth proportional to 105,840.32, 146,061.36 and 58,098.11 is: 80,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,840.32 : 146,061.36 = 58,098.11 : x
  2. Step 2: Convert to fraction form
    105,840.32/146,061.36 = 58,098.11/x
  3. Step 3: Cross multiply
    105,840.32x = 146,061.36 × 58,098.11
  4. Step 4: Simplify right side
    105,840.32x = 8,485,888,229.72
  5. Step 5: Solve for x
    x = 8,485,888,229.72/105,840.32
  6. Step 6: Final answer
    x = 80,176.33

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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.