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Finding the Fourth Proportional to 202,271.78, 303,543.11 and 83,943.23

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Solution

The fourth proportional to 202,271.78, 303,543.11 and 83,943.23 is: 125,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,271.78 : 303,543.11 = 83,943.23 : x
  2. Step 2: Convert to fraction form
    202,271.78/303,543.11 = 83,943.23/x
  3. Step 3: Cross multiply
    202,271.78x = 303,543.11 × 83,943.23
  4. Step 4: Simplify right side
    202,271.78x = 25,480,389,097.65
  5. Step 5: Solve for x
    x = 25,480,389,097.65/202,271.78
  6. Step 6: Final answer
    x = 125,971.05

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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.