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Finding the Fourth Proportional to 202,844.80, 304,267.20 and 124,112.80

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Solution

The fourth proportional to 202,844.80, 304,267.20 and 124,112.80 is: 186,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,844.80 : 304,267.20 = 124,112.80 : x
  2. Step 2: Convert to fraction form
    202,844.80/304,267.20 = 124,112.80/x
  3. Step 3: Cross multiply
    202,844.80x = 304,267.20 × 124,112.80
  4. Step 4: Simplify right side
    202,844.80x = 37,763,454,140.16
  5. Step 5: Solve for x
    x = 37,763,454,140.16/202,844.80
  6. Step 6: Final answer
    x = 186,169.20

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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.