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Finding the Fourth Proportional to 105,811.84, 146,014.52 and 58,061.42

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Solution

The fourth proportional to 105,811.84, 146,014.52 and 58,061.42 is: 80,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,811.84 : 146,014.52 = 58,061.42 : x
  2. Step 2: Convert to fraction form
    105,811.84/146,014.52 = 58,061.42/x
  3. Step 3: Cross multiply
    105,811.84x = 146,014.52 × 58,061.42
  4. Step 4: Simplify right side
    105,811.84x = 8,477,810,371.82
  5. Step 5: Solve for x
    x = 8,477,810,371.82/105,811.84
  6. Step 6: Final answer
    x = 80,121.57

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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.