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Finding the Fourth Proportional to 411,050.40, 616,201.94 and 158,169.56

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Solution

The fourth proportional to 411,050.40, 616,201.94 and 158,169.56 is: 237,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,050.40 : 616,201.94 = 158,169.56 : x
  2. Step 2: Convert to fraction form
    411,050.40/616,201.94 = 158,169.56/x
  3. Step 3: Cross multiply
    411,050.40x = 616,201.94 × 158,169.56
  4. Step 4: Simplify right side
    411,050.40x = 97,464,389,720.95
  5. Step 5: Solve for x
    x = 97,464,389,720.95/411,050.40
  6. Step 6: Final answer
    x = 237,110.56

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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.