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Finding the Fourth Proportional to 203,710.50, 305,573.94 and 97,039.62

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Solution

The fourth proportional to 203,710.50, 305,573.94 and 97,039.62 is: 145,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,710.50 : 305,573.94 = 97,039.62 : x
  2. Step 2: Convert to fraction form
    203,710.50/305,573.94 = 97,039.62/x
  3. Step 3: Cross multiply
    203,710.50x = 305,573.94 × 97,039.62
  4. Step 4: Simplify right side
    203,710.50x = 29,652,779,019.50
  5. Step 5: Solve for x
    x = 29,652,779,019.50/203,710.50
  6. Step 6: Final answer
    x = 145,563.33

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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.