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Finding the Fourth Proportional to 137,172.96, 189,298.08 and 76,743.18

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Solution

The fourth proportional to 137,172.96, 189,298.08 and 76,743.18 is: 105,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,172.96 : 189,298.08 = 76,743.18 : x
  2. Step 2: Convert to fraction form
    137,172.96/189,298.08 = 76,743.18/x
  3. Step 3: Cross multiply
    137,172.96x = 189,298.08 × 76,743.18
  4. Step 4: Simplify right side
    137,172.96x = 14,527,336,627.09
  5. Step 5: Solve for x
    x = 14,527,336,627.09/137,172.96
  6. Step 6: Final answer
    x = 105,905.25

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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.