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Finding the Fourth Proportional to 100,442.00, 150,658.68 and 30,319.22

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Solution

The fourth proportional to 100,442.00, 150,658.68 and 30,319.22 is: 45,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,442.00 : 150,658.68 = 30,319.22 : x
  2. Step 2: Convert to fraction form
    100,442.00/150,658.68 = 30,319.22/x
  3. Step 3: Cross multiply
    100,442.00x = 150,658.68 × 30,319.22
  4. Step 4: Simplify right side
    100,442.00x = 4,567,853,418.66
  5. Step 5: Solve for x
    x = 4,567,853,418.66/100,442.00
  6. Step 6: Final answer
    x = 45,477.52

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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.