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Finding the Fourth Proportional to 98,738.58, 136,258.68 and 53,416.44

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Solution

The fourth proportional to 98,738.58, 136,258.68 and 53,416.44 is: 73,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,738.58 : 136,258.68 = 53,416.44 : x
  2. Step 2: Convert to fraction form
    98,738.58/136,258.68 = 53,416.44/x
  3. Step 3: Cross multiply
    98,738.58x = 136,258.68 × 53,416.44
  4. Step 4: Simplify right side
    98,738.58x = 7,278,453,604.70
  5. Step 5: Solve for x
    x = 7,278,453,604.70/98,738.58
  6. Step 6: Final answer
    x = 73,714.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.