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Finding the Fourth Proportional to 164,758.92, 227,231.94 and 101,051.88

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Solution

The fourth proportional to 164,758.92, 227,231.94 and 101,051.88 is: 139,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,758.92 : 227,231.94 = 101,051.88 : x
  2. Step 2: Convert to fraction form
    164,758.92/227,231.94 = 101,051.88/x
  3. Step 3: Cross multiply
    164,758.92x = 227,231.94 × 101,051.88
  4. Step 4: Simplify right side
    164,758.92x = 22,962,214,733.05
  5. Step 5: Solve for x
    x = 22,962,214,733.05/164,758.92
  6. Step 6: Final answer
    x = 139,368.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.