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Finding the Fourth Proportional to 137,107.34, 189,207.06 and 76,678.10

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Solution

The fourth proportional to 137,107.34, 189,207.06 and 76,678.10 is: 105,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,107.34 : 189,207.06 = 76,678.10 : x
  2. Step 2: Convert to fraction form
    137,107.34/189,207.06 = 76,678.10/x
  3. Step 3: Cross multiply
    137,107.34x = 189,207.06 × 76,678.10
  4. Step 4: Simplify right side
    137,107.34x = 14,508,037,867.39
  5. Step 5: Solve for x
    x = 14,508,037,867.39/137,107.34
  6. Step 6: Final answer
    x = 105,815.18

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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.