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Finding the Fourth Proportional to 270,994.64, 406,492.12 and 113,137.04

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Solution

The fourth proportional to 270,994.64, 406,492.12 and 113,137.04 is: 169,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,994.64 : 406,492.12 = 113,137.04 : x
  2. Step 2: Convert to fraction form
    270,994.64/406,492.12 = 113,137.04/x
  3. Step 3: Cross multiply
    270,994.64x = 406,492.12 × 113,137.04
  4. Step 4: Simplify right side
    270,994.64x = 45,989,315,240.12
  5. Step 5: Solve for x
    x = 45,989,315,240.12/270,994.64
  6. Step 6: Final answer
    x = 169,705.63

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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.