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Finding the Fourth Proportional to 202,982.40, 304,473.60 and 194,817.60

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Solution

The fourth proportional to 202,982.40, 304,473.60 and 194,817.60 is: 292,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,982.40 : 304,473.60 = 194,817.60 : x
  2. Step 2: Convert to fraction form
    202,982.40/304,473.60 = 194,817.60/x
  3. Step 3: Cross multiply
    202,982.40x = 304,473.60 × 194,817.60
  4. Step 4: Simplify right side
    202,982.40x = 59,316,816,015.36
  5. Step 5: Solve for x
    x = 59,316,816,015.36/202,982.40
  6. Step 6: Final answer
    x = 292,226.40

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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.