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Finding the Fourth Proportional to 277,606.41, 383,096.97 and 150,282

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Solution

The fourth proportional to 277,606.41, 383,096.97 and 150,282 is: 207,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,606.41 : 383,096.97 = 150,282 : x
  2. Step 2: Convert to fraction form
    277,606.41/383,096.97 = 150,282/x
  3. Step 3: Cross multiply
    277,606.41x = 383,096.97 × 150,282
  4. Step 4: Simplify right side
    277,606.41x = 57,572,578,094.13
  5. Step 5: Solve for x
    x = 57,572,578,094.13/277,606.41
  6. Step 6: Final answer
    x = 207,389.23

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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.