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Finding the Fourth Proportional to 106,305.30, 146,702.25 and 58,558.77

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Solution

The fourth proportional to 106,305.30, 146,702.25 and 58,558.77 is: 80,811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,305.30 : 146,702.25 = 58,558.77 : x
  2. Step 2: Convert to fraction form
    106,305.30/146,702.25 = 58,558.77/x
  3. Step 3: Cross multiply
    106,305.30x = 146,702.25 × 58,558.77
  4. Step 4: Simplify right side
    106,305.30x = 8,590,703,316.23
  5. Step 5: Solve for x
    x = 8,590,703,316.23/106,305.30
  6. Step 6: Final answer
    x = 80,811.62

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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.