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Finding the Fourth Proportional to 106,846.31, 160,210.21 and 43,710.78

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Solution

The fourth proportional to 106,846.31, 160,210.21 and 43,710.78 is: 65,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,846.31 : 160,210.21 = 43,710.78 : x
  2. Step 2: Convert to fraction form
    106,846.31/160,210.21 = 43,710.78/x
  3. Step 3: Cross multiply
    106,846.31x = 160,210.21 × 43,710.78
  4. Step 4: Simplify right side
    106,846.31x = 7,002,913,243.06
  5. Step 5: Solve for x
    x = 7,002,913,243.06/106,846.31
  6. Step 6: Final answer
    x = 65,541.93

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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.