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Finding the Fourth Proportional to 251,475.89, 347,019.32 and 149,496.08

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Solution

The fourth proportional to 251,475.89, 347,019.32 and 149,496.08 is: 206,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,475.89 : 347,019.32 = 149,496.08 : x
  2. Step 2: Convert to fraction form
    251,475.89/347,019.32 = 149,496.08/x
  3. Step 3: Cross multiply
    251,475.89x = 347,019.32 × 149,496.08
  4. Step 4: Simplify right side
    251,475.89x = 51,878,026,662.91
  5. Step 5: Solve for x
    x = 51,878,026,662.91/251,475.89
  6. Step 6: Final answer
    x = 206,294.24

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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.