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Finding the Fourth Proportional to 277,425.42, 382,847.08 and 150,101.01

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Solution

The fourth proportional to 277,425.42, 382,847.08 and 150,101.01 is: 207,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,425.42 : 382,847.08 = 150,101.01 : x
  2. Step 2: Convert to fraction form
    277,425.42/382,847.08 = 150,101.01/x
  3. Step 3: Cross multiply
    277,425.42x = 382,847.08 × 150,101.01
  4. Step 4: Simplify right side
    277,425.42x = 57,465,733,383.55
  5. Step 5: Solve for x
    x = 57,465,733,383.55/277,425.42
  6. Step 6: Final answer
    x = 207,139.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.