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Finding the Fourth Proportional to 277,563, 383,037 and 150,239.64

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Solution

The fourth proportional to 277,563, 383,037 and 150,239.64 is: 207,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,563 : 383,037 = 150,239.64 : x
  2. Step 2: Convert to fraction form
    277,563/383,037 = 150,239.64/x
  3. Step 3: Cross multiply
    277,563x = 383,037 × 150,239.64
  4. Step 4: Simplify right side
    277,563x = 57,547,340,986.68
  5. Step 5: Solve for x
    x = 57,547,340,986.68/277,563
  6. Step 6: Final answer
    x = 207,330.74

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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.