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Finding the Fourth Proportional to 202,224.90, 303,337.35 and 178,896.90

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Solution

The fourth proportional to 202,224.90, 303,337.35 and 178,896.90 is: 268,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,224.90 : 303,337.35 = 178,896.90 : x
  2. Step 2: Convert to fraction form
    202,224.90/303,337.35 = 178,896.90/x
  3. Step 3: Cross multiply
    202,224.90x = 303,337.35 × 178,896.90
  4. Step 4: Simplify right side
    202,224.90x = 54,266,111,569.22
  5. Step 5: Solve for x
    x = 54,266,111,569.22/202,224.90
  6. Step 6: Final answer
    x = 268,345.35

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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.