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Finding the Fourth Proportional to 251,064.36, 346,469.40 and 137,894.40

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Solution

The fourth proportional to 251,064.36, 346,469.40 and 137,894.40 is: 190,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,064.36 : 346,469.40 = 137,894.40 : x
  2. Step 2: Convert to fraction form
    251,064.36/346,469.40 = 137,894.40/x
  3. Step 3: Cross multiply
    251,064.36x = 346,469.40 × 137,894.40
  4. Step 4: Simplify right side
    251,064.36x = 47,776,190,031.36
  5. Step 5: Solve for x
    x = 47,776,190,031.36/251,064.36
  6. Step 6: Final answer
    x = 190,294.59

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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.