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Finding the Fourth Proportional to 235,871.84, 353,745.20 and 160,978.56

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Solution

The fourth proportional to 235,871.84, 353,745.20 and 160,978.56 is: 241,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,871.84 : 353,745.20 = 160,978.56 : x
  2. Step 2: Convert to fraction form
    235,871.84/353,745.20 = 160,978.56/x
  3. Step 3: Cross multiply
    235,871.84x = 353,745.20 × 160,978.56
  4. Step 4: Simplify right side
    235,871.84x = 56,945,392,902.91
  5. Step 5: Solve for x
    x = 56,945,392,902.91/235,871.84
  6. Step 6: Final answer
    x = 241,425.14

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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.