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Finding the Fourth Proportional to 214,208.86, 295,616.10 and 129,309.52

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Solution

The fourth proportional to 214,208.86, 295,616.10 and 129,309.52 is: 178,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,208.86 : 295,616.10 = 129,309.52 : x
  2. Step 2: Convert to fraction form
    214,208.86/295,616.10 = 129,309.52/x
  3. Step 3: Cross multiply
    214,208.86x = 295,616.10 × 129,309.52
  4. Step 4: Simplify right side
    214,208.86x = 38,225,975,995.27
  5. Step 5: Solve for x
    x = 38,225,975,995.27/214,208.86
  6. Step 6: Final answer
    x = 178,451.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.