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Finding the Fourth Proportional to 229,980.48, 344,853.84 and 105,214.56

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Solution

The fourth proportional to 229,980.48, 344,853.84 and 105,214.56 is: 157,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,980.48 : 344,853.84 = 105,214.56 : x
  2. Step 2: Convert to fraction form
    229,980.48/344,853.84 = 105,214.56/x
  3. Step 3: Cross multiply
    229,980.48x = 344,853.84 × 105,214.56
  4. Step 4: Simplify right side
    229,980.48x = 36,283,645,039.91
  5. Step 5: Solve for x
    x = 36,283,645,039.91/229,980.48
  6. Step 6: Final answer
    x = 157,768.37

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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.