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Finding the Fourth Proportional to 410,773.63, 616,153.78 and 158,109.01

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Solution

The fourth proportional to 410,773.63, 616,153.78 and 158,109.01 is: 237,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,773.63 : 616,153.78 = 158,109.01 : x
  2. Step 2: Convert to fraction form
    410,773.63/616,153.78 = 158,109.01/x
  3. Step 3: Cross multiply
    410,773.63x = 616,153.78 × 158,109.01
  4. Step 4: Simplify right side
    410,773.63x = 97,419,464,163.56
  5. Step 5: Solve for x
    x = 97,419,464,163.56/410,773.63
  6. Step 6: Final answer
    x = 237,160.95

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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.