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Finding the Fourth Proportional to 270,921.21, 406,401.27 and 93,425.64

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Solution

The fourth proportional to 270,921.21, 406,401.27 and 93,425.64 is: 140,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,921.21 : 406,401.27 = 93,425.64 : x
  2. Step 2: Convert to fraction form
    270,921.21/406,401.27 = 93,425.64/x
  3. Step 3: Cross multiply
    270,921.21x = 406,401.27 × 93,425.64
  4. Step 4: Simplify right side
    270,921.21x = 37,968,298,746.56
  5. Step 5: Solve for x
    x = 37,968,298,746.56/270,921.21
  6. Step 6: Final answer
    x = 140,145.17

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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.