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Finding the Fourth Proportional to 202,642.74, 303,970.25 and 69,521.07

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Solution

The fourth proportional to 202,642.74, 303,970.25 and 69,521.07 is: 104,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,642.74 : 303,970.25 = 69,521.07 : x
  2. Step 2: Convert to fraction form
    202,642.74/303,970.25 = 69,521.07/x
  3. Step 3: Cross multiply
    202,642.74x = 303,970.25 × 69,521.07
  4. Step 4: Simplify right side
    202,642.74x = 21,132,337,028.17
  5. Step 5: Solve for x
    x = 21,132,337,028.17/202,642.74
  6. Step 6: Final answer
    x = 104,283.71

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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.