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Finding the Fourth Proportional to 199,337.65, 299,013.53 and 49,578.72

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Solution

The fourth proportional to 199,337.65, 299,013.53 and 49,578.72 is: 74,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,337.65 : 299,013.53 = 49,578.72 : x
  2. Step 2: Convert to fraction form
    199,337.65/299,013.53 = 49,578.72/x
  3. Step 3: Cross multiply
    199,337.65x = 299,013.53 × 49,578.72
  4. Step 4: Simplify right side
    199,337.65x = 14,824,707,832.19
  5. Step 5: Solve for x
    x = 14,824,707,832.19/199,337.65
  6. Step 6: Final answer
    x = 74,369.84

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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.