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Finding the Fourth Proportional to 126,458.64, 189,631.80 and 67,281.84

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Solution

The fourth proportional to 126,458.64, 189,631.80 and 67,281.84 is: 100,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,458.64 : 189,631.80 = 67,281.84 : x
  2. Step 2: Convert to fraction form
    126,458.64/189,631.80 = 67,281.84/x
  3. Step 3: Cross multiply
    126,458.64x = 189,631.80 × 67,281.84
  4. Step 4: Simplify right side
    126,458.64x = 12,758,776,426.51
  5. Step 5: Solve for x
    x = 12,758,776,426.51/126,458.64
  6. Step 6: Final answer
    x = 100,892.88

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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.