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Finding the Fourth Proportional to 106,042.95, 146,339.76 and 58,299.42

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Solution

The fourth proportional to 106,042.95, 146,339.76 and 58,299.42 is: 80,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,042.95 : 146,339.76 = 58,299.42 : x
  2. Step 2: Convert to fraction form
    106,042.95/146,339.76 = 58,299.42/x
  3. Step 3: Cross multiply
    106,042.95x = 146,339.76 × 58,299.42
  4. Step 4: Simplify right side
    106,042.95x = 8,531,523,130.94
  5. Step 5: Solve for x
    x = 8,531,523,130.94/106,042.95
  6. Step 6: Final answer
    x = 80,453.47

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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.