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Finding the Fourth Proportional to 201,715.40, 302,540.70 and 61,441.40

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Solution

The fourth proportional to 201,715.40, 302,540.70 and 61,441.40 is: 92,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,715.40 : 302,540.70 = 61,441.40 : x
  2. Step 2: Convert to fraction form
    201,715.40/302,540.70 = 61,441.40/x
  3. Step 3: Cross multiply
    201,715.40x = 302,540.70 × 61,441.40
  4. Step 4: Simplify right side
    201,715.40x = 18,588,524,164.98
  5. Step 5: Solve for x
    x = 18,588,524,164.98/201,715.40
  6. Step 6: Final answer
    x = 92,152.23

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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.