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Finding the Fourth Proportional to 126,169.30, 189,254.64 and 37,423.46

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Solution

The fourth proportional to 126,169.30, 189,254.64 and 37,423.46 is: 56,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,169.30 : 189,254.64 = 37,423.46 : x
  2. Step 2: Convert to fraction form
    126,169.30/189,254.64 = 37,423.46/x
  3. Step 3: Cross multiply
    126,169.30x = 189,254.64 × 37,423.46
  4. Step 4: Simplify right side
    126,169.30x = 7,082,563,449.85
  5. Step 5: Solve for x
    x = 7,082,563,449.85/126,169.30
  6. Step 6: Final answer
    x = 56,135.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.