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Finding the Fourth Proportional to 199,681.26, 299,516.13 and 51,937.26

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Solution

The fourth proportional to 199,681.26, 299,516.13 and 51,937.26 is: 77,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,681.26 : 299,516.13 = 51,937.26 : x
  2. Step 2: Convert to fraction form
    199,681.26/299,516.13 = 51,937.26/x
  3. Step 3: Cross multiply
    199,681.26x = 299,516.13 × 51,937.26
  4. Step 4: Simplify right side
    199,681.26x = 15,556,047,118.00
  5. Step 5: Solve for x
    x = 15,556,047,118.00/199,681.26
  6. Step 6: Final answer
    x = 77,904.39

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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.