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Finding the Fourth Proportional to 186,910.54, 257,935.80 and 102,027.67

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Solution

The fourth proportional to 186,910.54, 257,935.80 and 102,027.67 is: 140,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,910.54 : 257,935.80 = 102,027.67 : x
  2. Step 2: Convert to fraction form
    186,910.54/257,935.80 = 102,027.67/x
  3. Step 3: Cross multiply
    186,910.54x = 257,935.80 × 102,027.67
  4. Step 4: Simplify right side
    186,910.54x = 26,316,588,683.59
  5. Step 5: Solve for x
    x = 26,316,588,683.59/186,910.54
  6. Step 6: Final answer
    x = 140,797.78

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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.