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Finding the Fourth Proportional to 199,322.10, 299,443.95 and 137,114.10

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Solution

The fourth proportional to 199,322.10, 299,443.95 and 137,114.10 is: 205,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,322.10 : 299,443.95 = 137,114.10 : x
  2. Step 2: Convert to fraction form
    199,322.10/299,443.95 = 137,114.10/x
  3. Step 3: Cross multiply
    199,322.10x = 299,443.95 × 137,114.10
  4. Step 4: Simplify right side
    199,322.10x = 41,057,987,704.70
  5. Step 5: Solve for x
    x = 41,057,987,704.70/199,322.10
  6. Step 6: Final answer
    x = 205,988.14

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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.