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Finding the Fourth Proportional to 202,303.20, 303,782.85 and 146,534.70

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Solution

The fourth proportional to 202,303.20, 303,782.85 and 146,534.70 is: 220,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,303.20 : 303,782.85 = 146,534.70 : x
  2. Step 2: Convert to fraction form
    202,303.20/303,782.85 = 146,534.70/x
  3. Step 3: Cross multiply
    202,303.20x = 303,782.85 × 146,534.70
  4. Step 4: Simplify right side
    202,303.20x = 44,514,728,789.90
  5. Step 5: Solve for x
    x = 44,514,728,789.90/202,303.20
  6. Step 6: Final answer
    x = 220,039.67

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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.