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Finding the Fourth Proportional to 277,508.42, 382,962.60 and 150,183.98

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Solution

The fourth proportional to 277,508.42, 382,962.60 and 150,183.98 is: 207,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,508.42 : 382,962.60 = 150,183.98 : x
  2. Step 2: Convert to fraction form
    277,508.42/382,962.60 = 150,183.98/x
  3. Step 3: Cross multiply
    277,508.42x = 382,962.60 × 150,183.98
  4. Step 4: Simplify right side
    277,508.42x = 57,514,847,459.15
  5. Step 5: Solve for x
    x = 57,514,847,459.15/277,508.42
  6. Step 6: Final answer
    x = 207,254.42

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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.