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Finding the Fourth Proportional to 202,287.80, 303,322.35 and 83,971.10

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Solution

The fourth proportional to 202,287.80, 303,322.35 and 83,971.10 is: 125,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,287.80 : 303,322.35 = 83,971.10 : x
  2. Step 2: Convert to fraction form
    202,287.80/303,322.35 = 83,971.10/x
  3. Step 3: Cross multiply
    202,287.80x = 303,322.35 × 83,971.10
  4. Step 4: Simplify right side
    202,287.80x = 25,470,311,384.09
  5. Step 5: Solve for x
    x = 25,470,311,384.09/202,287.80
  6. Step 6: Final answer
    x = 125,911.26

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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.