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Finding the Fourth Proportional to 299,950.91, 449,926.82 and 120,117.32

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Solution

The fourth proportional to 299,950.91, 449,926.82 and 120,117.32 is: 180,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,950.91 : 449,926.82 = 120,117.32 : x
  2. Step 2: Convert to fraction form
    299,950.91/449,926.82 = 120,117.32/x
  3. Step 3: Cross multiply
    299,950.91x = 449,926.82 × 120,117.32
  4. Step 4: Simplify right side
    299,950.91x = 54,044,003,814.52
  5. Step 5: Solve for x
    x = 54,044,003,814.52/299,950.91
  6. Step 6: Final answer
    x = 180,176.16

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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.