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Finding the Fourth Proportional to 277,339.34, 382,727.53 and 150,014.63

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Solution

The fourth proportional to 277,339.34, 382,727.53 and 150,014.63 is: 207,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,339.34 : 382,727.53 = 150,014.63 : x
  2. Step 2: Convert to fraction form
    277,339.34/382,727.53 = 150,014.63/x
  3. Step 3: Cross multiply
    277,339.34x = 382,727.53 × 150,014.63
  4. Step 4: Simplify right side
    277,339.34x = 57,414,729,948.10
  5. Step 5: Solve for x
    x = 57,414,729,948.10/277,339.34
  6. Step 6: Final answer
    x = 207,019.78

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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.