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Finding the Fourth Proportional to 201,880.53, 302,821.25 and 189,549.50

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Solution

The fourth proportional to 201,880.53, 302,821.25 and 189,549.50 is: 284,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,880.53 : 302,821.25 = 189,549.50 : x
  2. Step 2: Convert to fraction form
    201,880.53/302,821.25 = 189,549.50/x
  3. Step 3: Cross multiply
    201,880.53x = 302,821.25 × 189,549.50
  4. Step 4: Simplify right side
    201,880.53x = 57,399,614,065.02
  5. Step 5: Solve for x
    x = 57,399,614,065.02/201,880.53
  6. Step 6: Final answer
    x = 284,324.67

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1.5x scale

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.