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Finding the Fourth Proportional to 201,810.80, 302,946.60 and 118,751.60

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Solution

The fourth proportional to 201,810.80, 302,946.60 and 118,751.60 is: 178,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810.80 : 302,946.60 = 118,751.60 : x
  2. Step 2: Convert to fraction form
    201,810.80/302,946.60 = 118,751.60/x
  3. Step 3: Cross multiply
    201,810.80x = 302,946.60 × 118,751.60
  4. Step 4: Simplify right side
    201,810.80x = 35,975,393,464.56
  5. Step 5: Solve for x
    x = 35,975,393,464.56/201,810.80
  6. Step 6: Final answer
    x = 178,262.97

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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.