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Finding the Fourth Proportional to 192,165.74, 265,183.70 and 106,130.98

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Solution

The fourth proportional to 192,165.74, 265,183.70 and 106,130.98 is: 146,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,165.74 : 265,183.70 = 106,130.98 : x
  2. Step 2: Convert to fraction form
    192,165.74/265,183.70 = 106,130.98/x
  3. Step 3: Cross multiply
    192,165.74x = 265,183.70 × 106,130.98
  4. Step 4: Simplify right side
    192,165.74x = 28,144,205,961.03
  5. Step 5: Solve for x
    x = 28,144,205,961.03/192,165.74
  6. Step 6: Final answer
    x = 146,457.98

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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.