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Finding the Fourth Proportional to 105,866.30, 146,097.15 and 58,124

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Solution

The fourth proportional to 105,866.30, 146,097.15 and 58,124 is: 80,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,866.30 : 146,097.15 = 58,124 : x
  2. Step 2: Convert to fraction form
    105,866.30/146,097.15 = 58,124/x
  3. Step 3: Cross multiply
    105,866.30x = 146,097.15 × 58,124
  4. Step 4: Simplify right side
    105,866.30x = 8,491,750,746.60
  5. Step 5: Solve for x
    x = 8,491,750,746.60/105,866.30
  6. Step 6: Final answer
    x = 80,212.03

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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.