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Finding the Fourth Proportional to 202,271.60, 303,480.30 and 194,981.60

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Solution

The fourth proportional to 202,271.60, 303,480.30 and 194,981.60 is: 292,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,271.60 : 303,480.30 = 194,981.60 : x
  2. Step 2: Convert to fraction form
    202,271.60/303,480.30 = 194,981.60/x
  3. Step 3: Cross multiply
    202,271.60x = 303,480.30 × 194,981.60
  4. Step 4: Simplify right side
    202,271.60x = 59,173,074,462.48
  5. Step 5: Solve for x
    x = 59,173,074,462.48/202,271.60
  6. Step 6: Final answer
    x = 292,542.67

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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.