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Finding the Fourth Proportional to 202,830.80, 304,246.20 and 201,664.40

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Solution

The fourth proportional to 202,830.80, 304,246.20 and 201,664.40 is: 302,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,830.80 : 304,246.20 = 201,664.40 : x
  2. Step 2: Convert to fraction form
    202,830.80/304,246.20 = 201,664.40/x
  3. Step 3: Cross multiply
    202,830.80x = 304,246.20 × 201,664.40
  4. Step 4: Simplify right side
    202,830.80x = 61,355,627,375.28
  5. Step 5: Solve for x
    x = 61,355,627,375.28/202,830.80
  6. Step 6: Final answer
    x = 302,496.60

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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.