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Finding the Fourth Proportional to 251,203.10, 346,656.36 and 138,023.42

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Solution

The fourth proportional to 251,203.10, 346,656.36 and 138,023.42 is: 190,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,203.10 : 346,656.36 = 138,023.42 : x
  2. Step 2: Convert to fraction form
    251,203.10/346,656.36 = 138,023.42/x
  3. Step 3: Cross multiply
    251,203.10x = 346,656.36 × 138,023.42
  4. Step 4: Simplify right side
    251,203.10x = 47,846,696,371.95
  5. Step 5: Solve for x
    x = 47,846,696,371.95/251,203.10
  6. Step 6: Final answer
    x = 190,470.17

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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.