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Finding the Fourth Proportional to 219,014.88, 302,240.39 and 123,521.34

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Solution

The fourth proportional to 219,014.88, 302,240.39 and 123,521.34 is: 170,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,014.88 : 302,240.39 = 123,521.34 : x
  2. Step 2: Convert to fraction form
    219,014.88/302,240.39 = 123,521.34/x
  3. Step 3: Cross multiply
    219,014.88x = 302,240.39 × 123,521.34
  4. Step 4: Simplify right side
    219,014.88x = 37,333,137,974.92
  5. Step 5: Solve for x
    x = 37,333,137,974.92/219,014.88
  6. Step 6: Final answer
    x = 170,459.37

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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.