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Finding the Fourth Proportional to 251,434.90, 346,980.17 and 138,257.65

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Solution

The fourth proportional to 251,434.90, 346,980.17 and 138,257.65 is: 190,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,434.90 : 346,980.17 = 138,257.65 : x
  2. Step 2: Convert to fraction form
    251,434.90/346,980.17 = 138,257.65/x
  3. Step 3: Cross multiply
    251,434.90x = 346,980.17 × 138,257.65
  4. Step 4: Simplify right side
    251,434.90x = 47,972,662,902.47
  5. Step 5: Solve for x
    x = 47,972,662,902.47/251,434.90
  6. Step 6: Final answer
    x = 190,795.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.