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Finding the Fourth Proportional to 126,409, 189,644.70 and 37,662.16

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Solution

The fourth proportional to 126,409, 189,644.70 and 37,662.16 is: 56,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,409 : 189,644.70 = 37,662.16 : x
  2. Step 2: Convert to fraction form
    126,409/189,644.70 = 37,662.16/x
  3. Step 3: Cross multiply
    126,409x = 189,644.70 × 37,662.16
  4. Step 4: Simplify right side
    126,409x = 7,142,429,034.55
  5. Step 5: Solve for x
    x = 7,142,429,034.55/126,409
  6. Step 6: Final answer
    x = 56,502.54

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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.