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Finding the Fourth Proportional to 277,536.50, 382,999.65 and 150,212.06

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Solution

The fourth proportional to 277,536.50, 382,999.65 and 150,212.06 is: 207,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,536.50 : 382,999.65 = 150,212.06 : x
  2. Step 2: Convert to fraction form
    277,536.50/382,999.65 = 150,212.06/x
  3. Step 3: Cross multiply
    277,536.50x = 382,999.65 × 150,212.06
  4. Step 4: Simplify right side
    277,536.50x = 57,531,166,405.78
  5. Step 5: Solve for x
    x = 57,531,166,405.78/277,536.50
  6. Step 6: Final answer
    x = 207,292.25

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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.