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Finding the Fourth Proportional to 202,038.33, 303,244.44 and 102,268.59

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Solution

The fourth proportional to 202,038.33, 303,244.44 and 102,268.59 is: 153,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,038.33 : 303,244.44 = 102,268.59 : x
  2. Step 2: Convert to fraction form
    202,038.33/303,244.44 = 102,268.59/x
  3. Step 3: Cross multiply
    202,038.33x = 303,244.44 × 102,268.59
  4. Step 4: Simplify right side
    202,038.33x = 31,012,381,304.14
  5. Step 5: Solve for x
    x = 31,012,381,304.14/202,038.33
  6. Step 6: Final answer
    x = 153,497.51

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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.