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Finding the Fourth Proportional to 277,863.68, 383,452.46 and 150,539.28

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Solution

The fourth proportional to 277,863.68, 383,452.46 and 150,539.28 is: 207,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,863.68 : 383,452.46 = 150,539.28 : x
  2. Step 2: Convert to fraction form
    277,863.68/383,452.46 = 150,539.28/x
  3. Step 3: Cross multiply
    277,863.68x = 383,452.46 × 150,539.28
  4. Step 4: Simplify right side
    277,863.68x = 57,724,657,242.63
  5. Step 5: Solve for x
    x = 57,724,657,242.63/277,863.68
  6. Step 6: Final answer
    x = 207,744.52

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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.