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Finding the Fourth Proportional to 105,951.72, 146,210.55 and 58,205.16

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Solution

The fourth proportional to 105,951.72, 146,210.55 and 58,205.16 is: 80,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,951.72 : 146,210.55 = 58,205.16 : x
  2. Step 2: Convert to fraction form
    105,951.72/146,210.55 = 58,205.16/x
  3. Step 3: Cross multiply
    105,951.72x = 146,210.55 × 58,205.16
  4. Step 4: Simplify right side
    105,951.72x = 8,510,208,456.44
  5. Step 5: Solve for x
    x = 8,510,208,456.44/105,951.72
  6. Step 6: Final answer
    x = 80,321.57

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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.