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Finding the Fourth Proportional to 201,458.30, 302,296.80 and 83,141.60

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Solution

The fourth proportional to 201,458.30, 302,296.80 and 83,141.60 is: 124,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,458.30 : 302,296.80 = 83,141.60 : x
  2. Step 2: Convert to fraction form
    201,458.30/302,296.80 = 83,141.60/x
  3. Step 3: Cross multiply
    201,458.30x = 302,296.80 × 83,141.60
  4. Step 4: Simplify right side
    201,458.30x = 25,133,439,626.88
  5. Step 5: Solve for x
    x = 25,133,439,626.88/201,458.30
  6. Step 6: Final answer
    x = 124,757.53

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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.