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Finding the Fourth Proportional to 164,509.97, 246,863.27 and 151,125.53

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Solution

The fourth proportional to 164,509.97, 246,863.27 and 151,125.53 is: 226,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,509.97 : 246,863.27 = 151,125.53 : x
  2. Step 2: Convert to fraction form
    164,509.97/246,863.27 = 151,125.53/x
  3. Step 3: Cross multiply
    164,509.97x = 246,863.27 × 151,125.53
  4. Step 4: Simplify right side
    164,509.97x = 37,307,341,143.50
  5. Step 5: Solve for x
    x = 37,307,341,143.50/164,509.97
  6. Step 6: Final answer
    x = 226,778.61

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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.