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Finding the Fourth Proportional to 201,296.80, 302,074.80 and 117,056.80

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Solution

The fourth proportional to 201,296.80, 302,074.80 and 117,056.80 is: 175,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,296.80 : 302,074.80 = 117,056.80 : x
  2. Step 2: Convert to fraction form
    201,296.80/302,074.80 = 117,056.80/x
  3. Step 3: Cross multiply
    201,296.80x = 302,074.80 × 117,056.80
  4. Step 4: Simplify right side
    201,296.80x = 35,359,909,448.64
  5. Step 5: Solve for x
    x = 35,359,909,448.64/201,296.80
  6. Step 6: Final answer
    x = 175,660.56

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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.