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Finding the Fourth Proportional to 203,492.13, 305,238.19 and 78,833.13

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Solution

The fourth proportional to 203,492.13, 305,238.19 and 78,833.13 is: 118,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,492.13 : 305,238.19 = 78,833.13 : x
  2. Step 2: Convert to fraction form
    203,492.13/305,238.19 = 78,833.13/x
  3. Step 3: Cross multiply
    203,492.13x = 305,238.19 × 78,833.13
  4. Step 4: Simplify right side
    203,492.13x = 24,062,881,913.23
  5. Step 5: Solve for x
    x = 24,062,881,913.23/203,492.13
  6. Step 6: Final answer
    x = 118,249.69

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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.