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Finding the Fourth Proportional to 270,964.34, 373,930.74 and 150,113.48

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Solution

The fourth proportional to 270,964.34, 373,930.74 and 150,113.48 is: 207,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,964.34 : 373,930.74 = 150,113.48 : x
  2. Step 2: Convert to fraction form
    270,964.34/373,930.74 = 150,113.48/x
  3. Step 3: Cross multiply
    270,964.34x = 373,930.74 × 150,113.48
  4. Step 4: Simplify right side
    270,964.34x = 56,132,044,660.38
  5. Step 5: Solve for x
    x = 56,132,044,660.38/270,964.34
  6. Step 6: Final answer
    x = 207,156.58

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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.