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Finding the Fourth Proportional to 254,460.40, 381,690.60 and 114,492.40

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Solution

The fourth proportional to 254,460.40, 381,690.60 and 114,492.40 is: 171,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,460.40 : 381,690.60 = 114,492.40 : x
  2. Step 2: Convert to fraction form
    254,460.40/381,690.60 = 114,492.40/x
  3. Step 3: Cross multiply
    254,460.40x = 381,690.60 × 114,492.40
  4. Step 4: Simplify right side
    254,460.40x = 43,700,672,851.44
  5. Step 5: Solve for x
    x = 43,700,672,851.44/254,460.40
  6. Step 6: Final answer
    x = 171,738.60

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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.