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Finding the Fourth Proportional to 128,300.28, 192,427.74 and 34,813.32

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Solution

The fourth proportional to 128,300.28, 192,427.74 and 34,813.32 is: 52,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,300.28 : 192,427.74 = 34,813.32 : x
  2. Step 2: Convert to fraction form
    128,300.28/192,427.74 = 34,813.32/x
  3. Step 3: Cross multiply
    128,300.28x = 192,427.74 × 34,813.32
  4. Step 4: Simplify right side
    128,300.28x = 6,699,048,489.50
  5. Step 5: Solve for x
    x = 6,699,048,489.50/128,300.28
  6. Step 6: Final answer
    x = 52,213.83

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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.