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Finding the Fourth Proportional to 107,315.16, 160,907.13 and 51,172.44

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Solution

The fourth proportional to 107,315.16, 160,907.13 and 51,172.44 is: 76,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,315.16 : 160,907.13 = 51,172.44 : x
  2. Step 2: Convert to fraction form
    107,315.16/160,907.13 = 51,172.44/x
  3. Step 3: Cross multiply
    107,315.16x = 160,907.13 × 51,172.44
  4. Step 4: Simplify right side
    107,315.16x = 8,234,010,455.50
  5. Step 5: Solve for x
    x = 8,234,010,455.50/107,315.16
  6. Step 6: Final answer
    x = 76,727.37

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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.