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Finding the Fourth Proportional to 186,778.88, 257,758.08 and 101,896.64

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Solution

The fourth proportional to 186,778.88, 257,758.08 and 101,896.64 is: 140,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,778.88 : 257,758.08 = 101,896.64 : x
  2. Step 2: Convert to fraction form
    186,778.88/257,758.08 = 101,896.64/x
  3. Step 3: Cross multiply
    186,778.88x = 257,758.08 × 101,896.64
  4. Step 4: Simplify right side
    186,778.88x = 26,264,682,284.85
  5. Step 5: Solve for x
    x = 26,264,682,284.85/186,778.88
  6. Step 6: Final answer
    x = 140,619.12

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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.