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Finding the Fourth Proportional to 202,643.74, 303,971.75 and 69,522.07

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Solution

The fourth proportional to 202,643.74, 303,971.75 and 69,522.07 is: 104,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,643.74 : 303,971.75 = 69,522.07 : x
  2. Step 2: Convert to fraction form
    202,643.74/303,971.75 = 69,522.07/x
  3. Step 3: Cross multiply
    202,643.74x = 303,971.75 × 69,522.07
  4. Step 4: Simplify right side
    202,643.74x = 21,132,745,281.52
  5. Step 5: Solve for x
    x = 21,132,745,281.52/202,643.74
  6. Step 6: Final answer
    x = 104,285.21

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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.