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Finding the Fourth Proportional to 214,577.72, 321,866.57 and 114,434.51

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Solution

The fourth proportional to 214,577.72, 321,866.57 and 114,434.51 is: 171,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,577.72 : 321,866.57 = 114,434.51 : x
  2. Step 2: Convert to fraction form
    214,577.72/321,866.57 = 114,434.51/x
  3. Step 3: Cross multiply
    214,577.72x = 321,866.57 × 114,434.51
  4. Step 4: Simplify right side
    214,577.72x = 36,832,644,314.08
  5. Step 5: Solve for x
    x = 36,832,644,314.08/214,577.72
  6. Step 6: Final answer
    x = 171,651.77

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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.