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Finding the Fourth Proportional to 299,873.43, 449,587.94 and 181,516.77

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Solution

The fourth proportional to 299,873.43, 449,587.94 and 181,516.77 is: 272,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,873.43 : 449,587.94 = 181,516.77 : x
  2. Step 2: Convert to fraction form
    299,873.43/449,587.94 = 181,516.77/x
  3. Step 3: Cross multiply
    299,873.43x = 449,587.94 × 181,516.77
  4. Step 4: Simplify right side
    299,873.43x = 81,607,749,792.17
  5. Step 5: Solve for x
    x = 81,607,749,792.17/299,873.43
  6. Step 6: Final answer
    x = 272,140.65

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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.