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Finding the Fourth Proportional to 141,089.22, 194,697 and 77,428.08

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Solution

The fourth proportional to 141,089.22, 194,697 and 77,428.08 is: 106,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,089.22 : 194,697 = 77,428.08 : x
  2. Step 2: Convert to fraction form
    141,089.22/194,697 = 77,428.08/x
  3. Step 3: Cross multiply
    141,089.22x = 194,697 × 77,428.08
  4. Step 4: Simplify right side
    141,089.22x = 15,075,014,891.76
  5. Step 5: Solve for x
    x = 15,075,014,891.76/141,089.22
  6. Step 6: Final answer
    x = 106,847.39

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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.