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Finding the Fourth Proportional to 105,842.52, 146,062.38 and 58,095

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Solution

The fourth proportional to 105,842.52, 146,062.38 and 58,095 is: 80,170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,842.52 : 146,062.38 = 58,095 : x
  2. Step 2: Convert to fraction form
    105,842.52/146,062.38 = 58,095/x
  3. Step 3: Cross multiply
    105,842.52x = 146,062.38 × 58,095
  4. Step 4: Simplify right side
    105,842.52x = 8,485,493,966.10
  5. Step 5: Solve for x
    x = 8,485,493,966.10/105,842.52
  6. Step 6: Final answer
    x = 80,170.94

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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.