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Finding the Fourth Proportional to 214,461.99, 295,958.88 and 123,821.64

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Solution

The fourth proportional to 214,461.99, 295,958.88 and 123,821.64 is: 170,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,461.99 : 295,958.88 = 123,821.64 : x
  2. Step 2: Convert to fraction form
    214,461.99/295,958.88 = 123,821.64/x
  3. Step 3: Cross multiply
    214,461.99x = 295,958.88 × 123,821.64
  4. Step 4: Simplify right side
    214,461.99x = 36,646,113,894.16
  5. Step 5: Solve for x
    x = 36,646,113,894.16/214,461.99
  6. Step 6: Final answer
    x = 170,874.63

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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.