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Finding the Fourth Proportional to 203,812.43, 305,598.96 and 61,614.90

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Solution

The fourth proportional to 203,812.43, 305,598.96 and 61,614.90 is: 92,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,812.43 : 305,598.96 = 61,614.90 : x
  2. Step 2: Convert to fraction form
    203,812.43/305,598.96 = 61,614.90/x
  3. Step 3: Cross multiply
    203,812.43x = 305,598.96 × 61,614.90
  4. Step 4: Simplify right side
    203,812.43x = 18,829,449,360.50
  5. Step 5: Solve for x
    x = 18,829,449,360.50/203,812.43
  6. Step 6: Final answer
    x = 92,386.17

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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.