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Finding the Fourth Proportional to 202,196.80, 303,295.20 and 139,211.20

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Solution

The fourth proportional to 202,196.80, 303,295.20 and 139,211.20 is: 208,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,196.80 : 303,295.20 = 139,211.20 : x
  2. Step 2: Convert to fraction form
    202,196.80/303,295.20 = 139,211.20/x
  3. Step 3: Cross multiply
    202,196.80x = 303,295.20 × 139,211.20
  4. Step 4: Simplify right side
    202,196.80x = 42,222,088,746.24
  5. Step 5: Solve for x
    x = 42,222,088,746.24/202,196.80
  6. Step 6: Final answer
    x = 208,816.80

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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.