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Finding the Fourth Proportional to 137,096.34, 189,191.62 and 76,666.28

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Solution

The fourth proportional to 137,096.34, 189,191.62 and 76,666.28 is: 105,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,096.34 : 189,191.62 = 76,666.28 : x
  2. Step 2: Convert to fraction form
    137,096.34/189,191.62 = 76,666.28/x
  3. Step 3: Cross multiply
    137,096.34x = 189,191.62 × 76,666.28
  4. Step 4: Simplify right side
    137,096.34x = 14,504,617,712.57
  5. Step 5: Solve for x
    x = 14,504,617,712.57/137,096.34
  6. Step 6: Final answer
    x = 105,798.72

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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.