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Finding the Fourth Proportional to 201,838.20, 302,627.70 and 83,556.60

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Solution

The fourth proportional to 201,838.20, 302,627.70 and 83,556.60 is: 125,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,838.20 : 302,627.70 = 83,556.60 : x
  2. Step 2: Convert to fraction form
    201,838.20/302,627.70 = 83,556.60/x
  3. Step 3: Cross multiply
    201,838.20x = 302,627.70 × 83,556.60
  4. Step 4: Simplify right side
    201,838.20x = 25,286,541,677.82
  5. Step 5: Solve for x
    x = 25,286,541,677.82/201,838.20
  6. Step 6: Final answer
    x = 125,281.25

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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.