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Finding the Fourth Proportional to 277,508.58, 382,961.84 and 150,184.14

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Solution

The fourth proportional to 277,508.58, 382,961.84 and 150,184.14 is: 207,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,508.58 : 382,961.84 = 150,184.14 : x
  2. Step 2: Convert to fraction form
    277,508.58/382,961.84 = 150,184.14/x
  3. Step 3: Cross multiply
    277,508.58x = 382,961.84 × 150,184.14
  4. Step 4: Simplify right side
    277,508.58x = 57,514,794,593.22
  5. Step 5: Solve for x
    x = 57,514,794,593.22/277,508.58
  6. Step 6: Final answer
    x = 207,254.11

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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.