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Finding the Fourth Proportional to 141,496, 212,245.44 and 43,000

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Solution

The fourth proportional to 141,496, 212,245.44 and 43,000 is: 64,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,496 : 212,245.44 = 43,000 : x
  2. Step 2: Convert to fraction form
    141,496/212,245.44 = 43,000/x
  3. Step 3: Cross multiply
    141,496x = 212,245.44 × 43,000
  4. Step 4: Simplify right side
    141,496x = 9,126,553,920
  5. Step 5: Solve for x
    x = 9,126,553,920/141,496
  6. Step 6: Final answer
    x = 64,500.44

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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.