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Finding the Fourth Proportional to 149,231.92, 223,847.88 and 102,342.64

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Solution

The fourth proportional to 149,231.92, 223,847.88 and 102,342.64 is: 153,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,231.92 : 223,847.88 = 102,342.64 : x
  2. Step 2: Convert to fraction form
    149,231.92/223,847.88 = 102,342.64/x
  3. Step 3: Cross multiply
    149,231.92x = 223,847.88 × 102,342.64
  4. Step 4: Simplify right side
    149,231.92x = 22,909,182,997.60
  5. Step 5: Solve for x
    x = 22,909,182,997.60/149,231.92
  6. Step 6: Final answer
    x = 153,513.96

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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.