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Finding the Fourth Proportional to 164,951.08, 227,631.54 and 89,497.96

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Solution

The fourth proportional to 164,951.08, 227,631.54 and 89,497.96 is: 123,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,951.08 : 227,631.54 = 89,497.96 : x
  2. Step 2: Convert to fraction form
    164,951.08/227,631.54 = 89,497.96/x
  3. Step 3: Cross multiply
    164,951.08x = 227,631.54 × 89,497.96
  4. Step 4: Simplify right side
    164,951.08x = 20,372,558,461.66
  5. Step 5: Solve for x
    x = 20,372,558,461.66/164,951.08
  6. Step 6: Final answer
    x = 123,506.67

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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.