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Finding the Fourth Proportional to 299,673.86, 449,509.16 and 122,180.18

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Solution

The fourth proportional to 299,673.86, 449,509.16 and 122,180.18 is: 183,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,673.86 : 449,509.16 = 122,180.18 : x
  2. Step 2: Convert to fraction form
    299,673.86/449,509.16 = 122,180.18/x
  3. Step 3: Cross multiply
    299,673.86x = 449,509.16 × 122,180.18
  4. Step 4: Simplify right side
    299,673.86x = 54,921,110,080.45
  5. Step 5: Solve for x
    x = 54,921,110,080.45/299,673.86
  6. Step 6: Final answer
    x = 183,269.61

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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.