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Finding the Fourth Proportional to 202,767.54, 303,967.82 and 96,085.06

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Solution

The fourth proportional to 202,767.54, 303,967.82 and 96,085.06 is: 144,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,767.54 : 303,967.82 = 96,085.06 : x
  2. Step 2: Convert to fraction form
    202,767.54/303,967.82 = 96,085.06/x
  3. Step 3: Cross multiply
    202,767.54x = 303,967.82 × 96,085.06
  4. Step 4: Simplify right side
    202,767.54x = 29,206,766,222.77
  5. Step 5: Solve for x
    x = 29,206,766,222.77/202,767.54
  6. Step 6: Final answer
    x = 144,040.64

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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.