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Finding the Fourth Proportional to 137,114.08, 189,202.80 and 76,678.48

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Solution

The fourth proportional to 137,114.08, 189,202.80 and 76,678.48 is: 105,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,114.08 : 189,202.80 = 76,678.48 : x
  2. Step 2: Convert to fraction form
    137,114.08/189,202.80 = 76,678.48/x
  3. Step 3: Cross multiply
    137,114.08x = 189,202.80 × 76,678.48
  4. Step 4: Simplify right side
    137,114.08x = 14,507,783,115.74
  5. Step 5: Solve for x
    x = 14,507,783,115.74/137,114.08
  6. Step 6: Final answer
    x = 105,808.12

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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.