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Finding the Fourth Proportional to 270,684, 373,534.56 and 149,830.56

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Solution

The fourth proportional to 270,684, 373,534.56 and 149,830.56 is: 206,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,684 : 373,534.56 = 149,830.56 : x
  2. Step 2: Convert to fraction form
    270,684/373,534.56 = 149,830.56/x
  3. Step 3: Cross multiply
    270,684x = 373,534.56 × 149,830.56
  4. Step 4: Simplify right side
    270,684x = 55,966,892,304.15
  5. Step 5: Solve for x
    x = 55,966,892,304.15/270,684
  6. Step 6: Final answer
    x = 206,760.99

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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.