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Finding the Fourth Proportional to 254,900.70, 382,351.68 and 77,409.06

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Solution

The fourth proportional to 254,900.70, 382,351.68 and 77,409.06 is: 116,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,900.70 : 382,351.68 = 77,409.06 : x
  2. Step 2: Convert to fraction form
    254,900.70/382,351.68 = 77,409.06/x
  3. Step 3: Cross multiply
    254,900.70x = 382,351.68 × 77,409.06
  4. Step 4: Simplify right side
    254,900.70x = 29,597,484,138.22
  5. Step 5: Solve for x
    x = 29,597,484,138.22/254,900.70
  6. Step 6: Final answer
    x = 116,113.78

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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.