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Finding the Fourth Proportional to 334,160.34, 501,040.34 and 106,357.56

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Solution

The fourth proportional to 334,160.34, 501,040.34 and 106,357.56 is: 159,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,160.34 : 501,040.34 = 106,357.56 : x
  2. Step 2: Convert to fraction form
    334,160.34/501,040.34 = 106,357.56/x
  3. Step 3: Cross multiply
    334,160.34x = 501,040.34 × 106,357.56
  4. Step 4: Simplify right side
    334,160.34x = 53,289,429,542.47
  5. Step 5: Solve for x
    x = 53,289,429,542.47/334,160.34
  6. Step 6: Final answer
    x = 159,472.63

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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.