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Finding the Fourth Proportional to 189,459.88, 284,190.16 and 126,403.20

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Solution

The fourth proportional to 189,459.88, 284,190.16 and 126,403.20 is: 189,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,459.88 : 284,190.16 = 126,403.20 : x
  2. Step 2: Convert to fraction form
    189,459.88/284,190.16 = 126,403.20/x
  3. Step 3: Cross multiply
    189,459.88x = 284,190.16 × 126,403.20
  4. Step 4: Simplify right side
    189,459.88x = 35,922,545,316.50
  5. Step 5: Solve for x
    x = 35,922,545,316.50/189,459.88
  6. Step 6: Final answer
    x = 189,605.03

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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.