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Finding the Fourth Proportional to 219,409.80, 329,114.70 and 202,129.80

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Solution

The fourth proportional to 219,409.80, 329,114.70 and 202,129.80 is: 303,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,409.80 : 329,114.70 = 202,129.80 : x
  2. Step 2: Convert to fraction form
    219,409.80/329,114.70 = 202,129.80/x
  3. Step 3: Cross multiply
    219,409.80x = 329,114.70 × 202,129.80
  4. Step 4: Simplify right side
    219,409.80x = 66,523,888,488.06
  5. Step 5: Solve for x
    x = 66,523,888,488.06/219,409.80
  6. Step 6: Final answer
    x = 303,194.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.