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Finding the Fourth Proportional to 201,474.40, 302,211.60 and 148,986.40

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Solution

The fourth proportional to 201,474.40, 302,211.60 and 148,986.40 is: 223,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,474.40 : 302,211.60 = 148,986.40 : x
  2. Step 2: Convert to fraction form
    201,474.40/302,211.60 = 148,986.40/x
  3. Step 3: Cross multiply
    201,474.40x = 302,211.60 × 148,986.40
  4. Step 4: Simplify right side
    201,474.40x = 45,025,418,322.24
  5. Step 5: Solve for x
    x = 45,025,418,322.24/201,474.40
  6. Step 6: Final answer
    x = 223,479.60

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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.