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Finding the Fourth Proportional to 106,856.80, 160,342.80 and 44,533.60

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Solution

The fourth proportional to 106,856.80, 160,342.80 and 44,533.60 is: 66,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,856.80 : 160,342.80 = 44,533.60 : x
  2. Step 2: Convert to fraction form
    106,856.80/160,342.80 = 44,533.60/x
  3. Step 3: Cross multiply
    106,856.80x = 160,342.80 × 44,533.60
  4. Step 4: Simplify right side
    106,856.80x = 7,140,642,118.08
  5. Step 5: Solve for x
    x = 7,140,642,118.08/106,856.80
  6. Step 6: Final answer
    x = 66,824.41

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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.