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Finding the Fourth Proportional to 141,075.66, 194,684.14 and 76,544.88

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Solution

The fourth proportional to 141,075.66, 194,684.14 and 76,544.88 is: 105,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,075.66 : 194,684.14 = 76,544.88 : x
  2. Step 2: Convert to fraction form
    141,075.66/194,684.14 = 76,544.88/x
  3. Step 3: Cross multiply
    141,075.66x = 194,684.14 × 76,544.88
  4. Step 4: Simplify right side
    141,075.66x = 14,902,074,229.88
  5. Step 5: Solve for x
    x = 14,902,074,229.88/141,075.66
  6. Step 6: Final answer
    x = 105,631.79

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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.