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Finding the Fourth Proportional to 214,336.36, 321,506.94 and 102,026.92

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Solution

The fourth proportional to 214,336.36, 321,506.94 and 102,026.92 is: 153,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,336.36 : 321,506.94 = 102,026.92 : x
  2. Step 2: Convert to fraction form
    214,336.36/321,506.94 = 102,026.92/x
  3. Step 3: Cross multiply
    214,336.36x = 321,506.94 × 102,026.92
  4. Step 4: Simplify right side
    214,336.36x = 32,802,362,846.82
  5. Step 5: Solve for x
    x = 32,802,362,846.82/214,336.36
  6. Step 6: Final answer
    x = 153,041.52

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