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Finding the Fourth Proportional to 137,089.44, 189,185.94 and 83,376.72

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Solution

The fourth proportional to 137,089.44, 189,185.94 and 83,376.72 is: 115,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,089.44 : 189,185.94 = 83,376.72 : x
  2. Step 2: Convert to fraction form
    137,089.44/189,185.94 = 83,376.72/x
  3. Step 3: Cross multiply
    137,089.44x = 189,185.94 × 83,376.72
  4. Step 4: Simplify right side
    137,089.44x = 15,773,703,147.32
  5. Step 5: Solve for x
    x = 15,773,703,147.32/137,089.44
  6. Step 6: Final answer
    x = 115,061.40

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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.