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Finding the Fourth Proportional to 203,415.14, 305,122.72 and 78,756.14

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Solution

The fourth proportional to 203,415.14, 305,122.72 and 78,756.14 is: 118,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,415.14 : 305,122.72 = 78,756.14 : x
  2. Step 2: Convert to fraction form
    203,415.14/305,122.72 = 78,756.14/x
  3. Step 3: Cross multiply
    203,415.14x = 305,122.72 × 78,756.14
  4. Step 4: Simplify right side
    203,415.14x = 24,030,287,653.50
  5. Step 5: Solve for x
    x = 24,030,287,653.50/203,415.14
  6. Step 6: Final answer
    x = 118,134.21

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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.