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Finding the Fourth Proportional to 186,896.85, 257,917.67 and 102,013.92

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Solution

The fourth proportional to 186,896.85, 257,917.67 and 102,013.92 is: 140,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,896.85 : 257,917.67 = 102,013.92 : x
  2. Step 2: Convert to fraction form
    186,896.85/257,917.67 = 102,013.92/x
  3. Step 3: Cross multiply
    186,896.85x = 257,917.67 × 102,013.92
  4. Step 4: Simplify right side
    186,896.85x = 26,311,192,043.90
  5. Step 5: Solve for x
    x = 26,311,192,043.90/186,896.85
  6. Step 6: Final answer
    x = 140,779.22

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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.