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Finding the Fourth Proportional to 186,042.42, 279,033.84 and 51,075

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Solution

The fourth proportional to 186,042.42, 279,033.84 and 51,075 is: 76,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,042.42 : 279,033.84 = 51,075 : x
  2. Step 2: Convert to fraction form
    186,042.42/279,033.84 = 51,075/x
  3. Step 3: Cross multiply
    186,042.42x = 279,033.84 × 51,075
  4. Step 4: Simplify right side
    186,042.42x = 14,251,653,378.00
  5. Step 5: Solve for x
    x = 14,251,653,378.00/186,042.42
  6. Step 6: Final answer
    x = 76,604.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.