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Finding the Fourth Proportional to 214,055.69, 321,058.01 and 56,296.44

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Solution

The fourth proportional to 214,055.69, 321,058.01 and 56,296.44 is: 84,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,055.69 : 321,058.01 = 56,296.44 : x
  2. Step 2: Convert to fraction form
    214,055.69/321,058.01 = 56,296.44/x
  3. Step 3: Cross multiply
    214,055.69x = 321,058.01 × 56,296.44
  4. Step 4: Simplify right side
    214,055.69x = 18,074,423,137.23
  5. Step 5: Solve for x
    x = 18,074,423,137.23/214,055.69
  6. Step 6: Final answer
    x = 84,437.95

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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.