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Finding the Fourth Proportional to 106,059.98, 146,359.02 and 58,312.95

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Solution

The fourth proportional to 106,059.98, 146,359.02 and 58,312.95 is: 80,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,059.98 : 146,359.02 = 58,312.95 : x
  2. Step 2: Convert to fraction form
    106,059.98/146,359.02 = 58,312.95/x
  3. Step 3: Cross multiply
    106,059.98x = 146,359.02 × 58,312.95
  4. Step 4: Simplify right side
    106,059.98x = 8,534,626,215.31
  5. Step 5: Solve for x
    x = 8,534,626,215.31/106,059.98
  6. Step 6: Final answer
    x = 80,469.81

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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.