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Finding the Fourth Proportional to 305,951.24, 458,650.38 and 108,913.16

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Solution

The fourth proportional to 305,951.24, 458,650.38 and 108,913.16 is: 163,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,951.24 : 458,650.38 = 108,913.16 : x
  2. Step 2: Convert to fraction form
    305,951.24/458,650.38 = 108,913.16/x
  3. Step 3: Cross multiply
    305,951.24x = 458,650.38 × 108,913.16
  4. Step 4: Simplify right side
    305,951.24x = 49,953,062,221.00
  5. Step 5: Solve for x
    x = 49,953,062,221.00/305,951.24
  6. Step 6: Final answer
    x = 163,271.32

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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.