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Finding the Fourth Proportional to 128,200.36, 192,300.66 and 33,430.46

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Solution

The fourth proportional to 128,200.36, 192,300.66 and 33,430.46 is: 50,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,200.36 : 192,300.66 = 33,430.46 : x
  2. Step 2: Convert to fraction form
    128,200.36/192,300.66 = 33,430.46/x
  3. Step 3: Cross multiply
    128,200.36x = 192,300.66 × 33,430.46
  4. Step 4: Simplify right side
    128,200.36x = 6,428,699,522.10
  5. Step 5: Solve for x
    x = 6,428,699,522.10/128,200.36
  6. Step 6: Final answer
    x = 50,145.72

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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.