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Finding the Fourth Proportional to 164,065, 246,121.26 and 51,707.20

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Solution

The fourth proportional to 164,065, 246,121.26 and 51,707.20 is: 77,568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,065 : 246,121.26 = 51,707.20 : x
  2. Step 2: Convert to fraction form
    164,065/246,121.26 = 51,707.20/x
  3. Step 3: Cross multiply
    164,065x = 246,121.26 × 51,707.20
  4. Step 4: Simplify right side
    164,065x = 12,726,241,215.07
  5. Step 5: Solve for x
    x = 12,726,241,215.07/164,065
  6. Step 6: Final answer
    x = 77,568.29

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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.