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Finding the Fourth Proportional to 214,238.40, 321,703.20 and 161,707.20

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Solution

The fourth proportional to 214,238.40, 321,703.20 and 161,707.20 is: 242,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,238.40 : 321,703.20 = 161,707.20 : x
  2. Step 2: Convert to fraction form
    214,238.40/321,703.20 = 161,707.20/x
  3. Step 3: Cross multiply
    214,238.40x = 321,703.20 × 161,707.20
  4. Step 4: Simplify right side
    214,238.40x = 52,021,723,703.04
  5. Step 5: Solve for x
    x = 52,021,723,703.04/214,238.40
  6. Step 6: Final answer
    x = 242,821.66

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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.