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Finding the Fourth Proportional to 106,600.24, 159,866.34 and 43,420.24

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Solution

The fourth proportional to 106,600.24, 159,866.34 and 43,420.24 is: 65,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,600.24 : 159,866.34 = 43,420.24 : x
  2. Step 2: Convert to fraction form
    106,600.24/159,866.34 = 43,420.24/x
  3. Step 3: Cross multiply
    106,600.24x = 159,866.34 × 43,420.24
  4. Step 4: Simplify right side
    106,600.24x = 6,941,434,850.72
  5. Step 5: Solve for x
    x = 6,941,434,850.72/106,600.24
  6. Step 6: Final answer
    x = 65,116.50

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1.5x scale

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.