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Finding the Fourth Proportional to 190,182.09, 262,459.49 and 105,299.16

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Solution

The fourth proportional to 190,182.09, 262,459.49 and 105,299.16 is: 145,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,182.09 : 262,459.49 = 105,299.16 : x
  2. Step 2: Convert to fraction form
    190,182.09/262,459.49 = 105,299.16/x
  3. Step 3: Cross multiply
    190,182.09x = 262,459.49 × 105,299.16
  4. Step 4: Simplify right side
    190,182.09x = 27,636,762,912.62
  5. Step 5: Solve for x
    x = 27,636,762,912.62/190,182.09
  6. Step 6: Final answer
    x = 145,317.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.