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Finding the Fourth Proportional to 251,231.44, 346,695.42 and 138,051.76

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Solution

The fourth proportional to 251,231.44, 346,695.42 and 138,051.76 is: 190,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,231.44 : 346,695.42 = 138,051.76 : x
  2. Step 2: Convert to fraction form
    251,231.44/346,695.42 = 138,051.76/x
  3. Step 3: Cross multiply
    251,231.44x = 346,695.42 × 138,051.76
  4. Step 4: Simplify right side
    251,231.44x = 47,861,912,914.94
  5. Step 5: Solve for x
    x = 47,861,912,914.94/251,231.44
  6. Step 6: Final answer
    x = 190,509.25

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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.