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Finding the Fourth Proportional to 137,199.64, 189,336.22 and 76,770.40

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Solution

The fourth proportional to 137,199.64, 189,336.22 and 76,770.40 is: 105,943.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,199.64 : 189,336.22 = 76,770.40 : x
  2. Step 2: Convert to fraction form
    137,199.64/189,336.22 = 76,770.40/x
  3. Step 3: Cross multiply
    137,199.64x = 189,336.22 × 76,770.40
  4. Step 4: Simplify right side
    137,199.64x = 14,535,417,343.89
  5. Step 5: Solve for x
    x = 14,535,417,343.89/137,199.64
  6. Step 6: Final answer
    x = 105,943.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.