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Finding the Fourth Proportional to 105,957.98, 146,224.59 and 58,214.42

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Solution

The fourth proportional to 105,957.98, 146,224.59 and 58,214.42 is: 80,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,957.98 : 146,224.59 = 58,214.42 : x
  2. Step 2: Convert to fraction form
    105,957.98/146,224.59 = 58,214.42/x
  3. Step 3: Cross multiply
    105,957.98x = 146,224.59 × 58,214.42
  4. Step 4: Simplify right side
    105,957.98x = 8,512,379,696.59
  5. Step 5: Solve for x
    x = 8,512,379,696.59/105,957.98
  6. Step 6: Final answer
    x = 80,337.32

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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.