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Finding the Fourth Proportional to 254,600.36, 382,008.54 and 136,241

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Solution

The fourth proportional to 254,600.36, 382,008.54 and 136,241 is: 204,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,600.36 : 382,008.54 = 136,241 : x
  2. Step 2: Convert to fraction form
    254,600.36/382,008.54 = 136,241/x
  3. Step 3: Cross multiply
    254,600.36x = 382,008.54 × 136,241
  4. Step 4: Simplify right side
    254,600.36x = 52,045,225,498.14
  5. Step 5: Solve for x
    x = 52,045,225,498.14/254,600.36
  6. Step 6: Final answer
    x = 204,419.29

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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.