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Finding the Fourth Proportional to 201,280.80, 302,504.40 and 197,781.60

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Solution

The fourth proportional to 201,280.80, 302,504.40 and 197,781.60 is: 297,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,280.80 : 302,504.40 = 197,781.60 : x
  2. Step 2: Convert to fraction form
    201,280.80/302,504.40 = 197,781.60/x
  3. Step 3: Cross multiply
    201,280.80x = 302,504.40 × 197,781.60
  4. Step 4: Simplify right side
    201,280.80x = 59,829,804,239.04
  5. Step 5: Solve for x
    x = 59,829,804,239.04/201,280.80
  6. Step 6: Final answer
    x = 297,245.46

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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.