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Finding the Fourth Proportional to 270,102.72, 405,154.26 and 70,422.60

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Solution

The fourth proportional to 270,102.72, 405,154.26 and 70,422.60 is: 105,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,102.72 : 405,154.26 = 70,422.60 : x
  2. Step 2: Convert to fraction form
    270,102.72/405,154.26 = 70,422.60/x
  3. Step 3: Cross multiply
    270,102.72x = 405,154.26 × 70,422.60
  4. Step 4: Simplify right side
    270,102.72x = 28,532,016,390.28
  5. Step 5: Solve for x
    x = 28,532,016,390.28/270,102.72
  6. Step 6: Final answer
    x = 105,633.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.