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Finding the Fourth Proportional to 299,334, 449,074.98 and 88,971.06

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Solution

The fourth proportional to 299,334, 449,074.98 and 88,971.06 is: 133,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,334 : 449,074.98 = 88,971.06 : x
  2. Step 2: Convert to fraction form
    299,334/449,074.98 = 88,971.06/x
  3. Step 3: Cross multiply
    299,334x = 449,074.98 × 88,971.06
  4. Step 4: Simplify right side
    299,334x = 39,954,676,990.08
  5. Step 5: Solve for x
    x = 39,954,676,990.08/299,334
  6. Step 6: Final answer
    x = 133,478.58

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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.