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Finding the Fourth Proportional to 274,419.66, 411,392.90 and 106,058.10

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Solution

The fourth proportional to 274,419.66, 411,392.90 and 106,058.10 is: 158,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,419.66 : 411,392.90 = 106,058.10 : x
  2. Step 2: Convert to fraction form
    274,419.66/411,392.90 = 106,058.10/x
  3. Step 3: Cross multiply
    274,419.66x = 411,392.90 × 106,058.10
  4. Step 4: Simplify right side
    274,419.66x = 43,631,549,327.49
  5. Step 5: Solve for x
    x = 43,631,549,327.49/274,419.66
  6. Step 6: Final answer
    x = 158,995.71

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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.