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Finding the Fourth Proportional to 106,048.98, 146,343.83 and 58,302

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Solution

The fourth proportional to 106,048.98, 146,343.83 and 58,302 is: 80,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,048.98 : 146,343.83 = 58,302 : x
  2. Step 2: Convert to fraction form
    106,048.98/146,343.83 = 58,302/x
  3. Step 3: Cross multiply
    106,048.98x = 146,343.83 × 58,302
  4. Step 4: Simplify right side
    106,048.98x = 8,532,137,685.15
  5. Step 5: Solve for x
    x = 8,532,137,685.15/106,048.98
  6. Step 6: Final answer
    x = 80,454.69

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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.