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Finding the Fourth Proportional to 186,596.54, 257,493.50 and 106,012.88

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Solution

The fourth proportional to 186,596.54, 257,493.50 and 106,012.88 is: 146,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,596.54 : 257,493.50 = 106,012.88 : x
  2. Step 2: Convert to fraction form
    186,596.54/257,493.50 = 106,012.88/x
  3. Step 3: Cross multiply
    186,596.54x = 257,493.50 × 106,012.88
  4. Step 4: Simplify right side
    186,596.54x = 27,297,625,698.75
  5. Step 5: Solve for x
    x = 27,297,625,698.75/186,596.54
  6. Step 6: Final answer
    x = 146,292.24

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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.