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Finding the Fourth Proportional to 137,675.56, 189,975.36 and 81,076

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Solution

The fourth proportional to 137,675.56, 189,975.36 and 81,076 is: 111,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,675.56 : 189,975.36 = 81,076 : x
  2. Step 2: Convert to fraction form
    137,675.56/189,975.36 = 81,076/x
  3. Step 3: Cross multiply
    137,675.56x = 189,975.36 × 81,076
  4. Step 4: Simplify right side
    137,675.56x = 15,402,442,287.36
  5. Step 5: Solve for x
    x = 15,402,442,287.36/137,675.56
  6. Step 6: Final answer
    x = 111,874.92

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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.