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Finding the Fourth Proportional to 133,189.25, 199,762.30 and 48,928.69

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Solution

The fourth proportional to 133,189.25, 199,762.30 and 48,928.69 is: 73,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,189.25 : 199,762.30 = 48,928.69 : x
  2. Step 2: Convert to fraction form
    133,189.25/199,762.30 = 48,928.69/x
  3. Step 3: Cross multiply
    133,189.25x = 199,762.30 × 48,928.69
  4. Step 4: Simplify right side
    133,189.25x = 9,774,107,961.25
  5. Step 5: Solve for x
    x = 9,774,107,961.25/133,189.25
  6. Step 6: Final answer
    x = 73,385.11

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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.