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Finding the Fourth Proportional to 113,846.40, 170,654.40 and 67,075.20

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Solution

The fourth proportional to 113,846.40, 170,654.40 and 67,075.20 is: 100,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,846.40 : 170,654.40 = 67,075.20 : x
  2. Step 2: Convert to fraction form
    113,846.40/170,654.40 = 67,075.20/x
  3. Step 3: Cross multiply
    113,846.40x = 170,654.40 × 67,075.20
  4. Step 4: Simplify right side
    113,846.40x = 11,446,678,010.88
  5. Step 5: Solve for x
    x = 11,446,678,010.88/113,846.40
  6. Step 6: Final answer
    x = 100,544.93

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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.