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Finding the Fourth Proportional to 277,785.60, 383,344.14 and 150,461.23

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Solution

The fourth proportional to 277,785.60, 383,344.14 and 150,461.23 is: 207,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,785.60 : 383,344.14 = 150,461.23 : x
  2. Step 2: Convert to fraction form
    277,785.60/383,344.14 = 150,461.23/x
  3. Step 3: Cross multiply
    277,785.60x = 383,344.14 × 150,461.23
  4. Step 4: Simplify right side
    277,785.60x = 57,678,428,900.97
  5. Step 5: Solve for x
    x = 57,678,428,900.97/277,785.60
  6. Step 6: Final answer
    x = 207,636.50

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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.