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Finding the Fourth Proportional to 242,738.44, 363,627.06 and 114,479.08

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Solution

The fourth proportional to 242,738.44, 363,627.06 and 114,479.08 is: 171,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,738.44 : 363,627.06 = 114,479.08 : x
  2. Step 2: Convert to fraction form
    242,738.44/363,627.06 = 114,479.08/x
  3. Step 3: Cross multiply
    242,738.44x = 363,627.06 × 114,479.08
  4. Step 4: Simplify right side
    242,738.44x = 41,627,691,291.90
  5. Step 5: Solve for x
    x = 41,627,691,291.90/242,738.44
  6. Step 6: Final answer
    x = 171,491.96

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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.