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Finding the Fourth Proportional to 355,722.21, 533,584.22 and 145,360.14

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Solution

The fourth proportional to 355,722.21, 533,584.22 and 145,360.14 is: 218,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,722.21 : 533,584.22 = 145,360.14 : x
  2. Step 2: Convert to fraction form
    355,722.21/533,584.22 = 145,360.14/x
  3. Step 3: Cross multiply
    355,722.21x = 533,584.22 × 145,360.14
  4. Step 4: Simplify right side
    355,722.21x = 77,561,876,194.19
  5. Step 5: Solve for x
    x = 77,561,876,194.19/355,722.21
  6. Step 6: Final answer
    x = 218,040.58

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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.