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Finding the Fourth Proportional to 277,516, 382,971.36 and 150,191.56

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Solution

The fourth proportional to 277,516, 382,971.36 and 150,191.56 is: 207,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,516 : 382,971.36 = 150,191.56 : x
  2. Step 2: Convert to fraction form
    277,516/382,971.36 = 150,191.56/x
  3. Step 3: Cross multiply
    277,516x = 382,971.36 × 150,191.56
  4. Step 4: Simplify right side
    277,516x = 57,519,065,993.72
  5. Step 5: Solve for x
    x = 57,519,065,993.72/277,516
  6. Step 6: Final answer
    x = 207,263.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.