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Finding the Fourth Proportional to 270,994.16, 406,536.84 and 100,225.88

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Solution

The fourth proportional to 270,994.16, 406,536.84 and 100,225.88 is: 150,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,994.16 : 406,536.84 = 100,225.88 : x
  2. Step 2: Convert to fraction form
    270,994.16/406,536.84 = 100,225.88/x
  3. Step 3: Cross multiply
    270,994.16x = 406,536.84 × 100,225.88
  4. Step 4: Simplify right side
    270,994.16x = 40,745,512,541.42
  5. Step 5: Solve for x
    x = 40,745,512,541.42/270,994.16
  6. Step 6: Final answer
    x = 150,355.68

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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.