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Finding the Fourth Proportional to 299,112.48, 448,571.66 and 99,379.24

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Solution

The fourth proportional to 299,112.48, 448,571.66 and 99,379.24 is: 149,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,112.48 : 448,571.66 = 99,379.24 : x
  2. Step 2: Convert to fraction form
    299,112.48/448,571.66 = 99,379.24/x
  3. Step 3: Cross multiply
    299,112.48x = 448,571.66 × 99,379.24
  4. Step 4: Simplify right side
    299,112.48x = 44,578,709,038.01
  5. Step 5: Solve for x
    x = 44,578,709,038.01/299,112.48
  6. Step 6: Final answer
    x = 149,036.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.