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Finding the Fourth Proportional to 277,761.76, 383,311.04 and 150,437.36

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Solution

The fourth proportional to 277,761.76, 383,311.04 and 150,437.36 is: 207,603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,761.76 : 383,311.04 = 150,437.36 : x
  2. Step 2: Convert to fraction form
    277,761.76/383,311.04 = 150,437.36/x
  3. Step 3: Cross multiply
    277,761.76x = 383,311.04 × 150,437.36
  4. Step 4: Simplify right side
    277,761.76x = 57,664,300,916.45
  5. Step 5: Solve for x
    x = 57,664,300,916.45/277,761.76
  6. Step 6: Final answer
    x = 207,603.45

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Why These Related Problems?

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