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Finding the Fourth Proportional to 229,866.72, 317,214 and 129,262.56

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Solution

The fourth proportional to 229,866.72, 317,214 and 129,262.56 is: 178,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,866.72 : 317,214 = 129,262.56 : x
  2. Step 2: Convert to fraction form
    229,866.72/317,214 = 129,262.56/x
  3. Step 3: Cross multiply
    229,866.72x = 317,214 × 129,262.56
  4. Step 4: Simplify right side
    229,866.72x = 41,003,893,707.84
  5. Step 5: Solve for x
    x = 41,003,893,707.84/229,866.72
  6. Step 6: Final answer
    x = 178,381.17

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Why These Related Problems?

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