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Finding the Fourth Proportional to 105,812.94, 146,026.07 and 58,068

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Solution

The fourth proportional to 105,812.94, 146,026.07 and 58,068 is: 80,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,812.94 : 146,026.07 = 58,068 : x
  2. Step 2: Convert to fraction form
    105,812.94/146,026.07 = 58,068/x
  3. Step 3: Cross multiply
    105,812.94x = 146,026.07 × 58,068
  4. Step 4: Simplify right side
    105,812.94x = 8,479,441,832.76
  5. Step 5: Solve for x
    x = 8,479,441,832.76/105,812.94
  6. Step 6: Final answer
    x = 80,136.15

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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.