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Finding the Fourth Proportional to 126,460.64, 189,634.80 and 67,283.84

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Solution

The fourth proportional to 126,460.64, 189,634.80 and 67,283.84 is: 100,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,460.64 : 189,634.80 = 67,283.84 : x
  2. Step 2: Convert to fraction form
    126,460.64/189,634.80 = 67,283.84/x
  3. Step 3: Cross multiply
    126,460.64x = 189,634.80 × 67,283.84
  4. Step 4: Simplify right side
    126,460.64x = 12,759,357,541.63
  5. Step 5: Solve for x
    x = 12,759,357,541.63/126,460.64
  6. Step 6: Final answer
    x = 100,895.88

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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.