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Finding the Fourth Proportional to 214,699.88, 321,559.34 and 102,458.92

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Solution

The fourth proportional to 214,699.88, 321,559.34 and 102,458.92 is: 153,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,699.88 : 321,559.34 = 102,458.92 : x
  2. Step 2: Convert to fraction form
    214,699.88/321,559.34 = 102,458.92/x
  3. Step 3: Cross multiply
    214,699.88x = 321,559.34 × 102,458.92
  4. Step 4: Simplify right side
    214,699.88x = 32,946,622,692.31
  5. Step 5: Solve for x
    x = 32,946,622,692.31/214,699.88
  6. Step 6: Final answer
    x = 153,454.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.