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Finding the Fourth Proportional to 105,966.95, 146,231.43 and 58,220.27

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Solution

The fourth proportional to 105,966.95, 146,231.43 and 58,220.27 is: 80,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,966.95 : 146,231.43 = 58,220.27 : x
  2. Step 2: Convert to fraction form
    105,966.95/146,231.43 = 58,220.27/x
  3. Step 3: Cross multiply
    105,966.95x = 146,231.43 × 58,220.27
  4. Step 4: Simplify right side
    105,966.95x = 8,513,633,337.09
  5. Step 5: Solve for x
    x = 8,513,633,337.09/105,966.95
  6. Step 6: Final answer
    x = 80,342.35

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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.