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Finding the Fourth Proportional to 355,213.56, 532,820.38 and 144,867.96

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Solution

The fourth proportional to 355,213.56, 532,820.38 and 144,867.96 is: 217,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,213.56 : 532,820.38 = 144,867.96 : x
  2. Step 2: Convert to fraction form
    355,213.56/532,820.38 = 144,867.96/x
  3. Step 3: Cross multiply
    355,213.56x = 532,820.38 × 144,867.96
  4. Step 4: Simplify right side
    355,213.56x = 77,188,601,497.02
  5. Step 5: Solve for x
    x = 77,188,601,497.02/355,213.56
  6. Step 6: Final answer
    x = 217,301.96

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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.