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Finding the Fourth Proportional to 269,223.84, 403,735.23 and 89,276.31

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Solution

The fourth proportional to 269,223.84, 403,735.23 and 89,276.31 is: 133,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,223.84 : 403,735.23 = 89,276.31 : x
  2. Step 2: Convert to fraction form
    269,223.84/403,735.23 = 89,276.31/x
  3. Step 3: Cross multiply
    269,223.84x = 403,735.23 × 89,276.31
  4. Step 4: Simplify right side
    269,223.84x = 36,043,991,551.40
  5. Step 5: Solve for x
    x = 36,043,991,551.40/269,223.84
  6. Step 6: Final answer
    x = 133,881.13

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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.