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Finding the Fourth Proportional to 251,216.34, 346,678.47 and 138,046.38

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Solution

The fourth proportional to 251,216.34, 346,678.47 and 138,046.38 is: 190,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,216.34 : 346,678.47 = 138,046.38 : x
  2. Step 2: Convert to fraction form
    251,216.34/346,678.47 = 138,046.38/x
  3. Step 3: Cross multiply
    251,216.34x = 346,678.47 × 138,046.38
  4. Step 4: Simplify right side
    251,216.34x = 47,857,707,807.44
  5. Step 5: Solve for x
    x = 47,857,707,807.44/251,216.34
  6. Step 6: Final answer
    x = 190,503.96

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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.