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Finding the Fourth Proportional to 201,744.20, 302,486.70 and 83,462.60

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Solution

The fourth proportional to 201,744.20, 302,486.70 and 83,462.60 is: 125,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,744.20 : 302,486.70 = 83,462.60 : x
  2. Step 2: Convert to fraction form
    201,744.20/302,486.70 = 83,462.60/x
  3. Step 3: Cross multiply
    201,744.20x = 302,486.70 × 83,462.60
  4. Step 4: Simplify right side
    201,744.20x = 25,246,326,447.42
  5. Step 5: Solve for x
    x = 25,246,326,447.42/201,744.20
  6. Step 6: Final answer
    x = 125,140.28

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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.