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Finding the Fourth Proportional to 254,845.76, 382,223.94 and 97,083.68

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Solution

The fourth proportional to 254,845.76, 382,223.94 and 97,083.68 is: 145,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,845.76 : 382,223.94 = 97,083.68 : x
  2. Step 2: Convert to fraction form
    254,845.76/382,223.94 = 97,083.68/x
  3. Step 3: Cross multiply
    254,845.76x = 382,223.94 × 97,083.68
  4. Step 4: Simplify right side
    254,845.76x = 37,107,706,679.30
  5. Step 5: Solve for x
    x = 37,107,706,679.30/254,845.76
  6. Step 6: Final answer
    x = 145,608.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.