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Finding the Fourth Proportional to 463,138.68, 694,708 and 130,714.68

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Solution

The fourth proportional to 463,138.68, 694,708 and 130,714.68 is: 196,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,138.68 : 694,708 = 130,714.68 : x
  2. Step 2: Convert to fraction form
    463,138.68/694,708 = 130,714.68/x
  3. Step 3: Cross multiply
    463,138.68x = 694,708 × 130,714.68
  4. Step 4: Simplify right side
    463,138.68x = 90,808,533,913.44
  5. Step 5: Solve for x
    x = 90,808,533,913.44/463,138.68
  6. Step 6: Final answer
    x = 196,072.01

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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.