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Finding the Fourth Proportional to 355,201.30, 532,348.35 and 144,601.30

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Solution

The fourth proportional to 355,201.30, 532,348.35 and 144,601.30 is: 216,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,201.30 : 532,348.35 = 144,601.30 : x
  2. Step 2: Convert to fraction form
    355,201.30/532,348.35 = 144,601.30/x
  3. Step 3: Cross multiply
    355,201.30x = 532,348.35 × 144,601.30
  4. Step 4: Simplify right side
    355,201.30x = 76,978,263,462.86
  5. Step 5: Solve for x
    x = 76,978,263,462.86/355,201.30
  6. Step 6: Final answer
    x = 216,717.29

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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.