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Finding the Fourth Proportional to 277,466.88, 382,905.30 and 150,142.47

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Solution

The fourth proportional to 277,466.88, 382,905.30 and 150,142.47 is: 207,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,466.88 : 382,905.30 = 150,142.47 : x
  2. Step 2: Convert to fraction form
    277,466.88/382,905.30 = 150,142.47/x
  3. Step 3: Cross multiply
    277,466.88x = 382,905.30 × 150,142.47
  4. Step 4: Simplify right side
    277,466.88x = 57,490,347,518.09
  5. Step 5: Solve for x
    x = 57,490,347,518.09/277,466.88
  6. Step 6: Final answer
    x = 207,197.15

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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.