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Finding the Fourth Proportional to 137,083.40, 189,174.03 and 76,654.16

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Solution

The fourth proportional to 137,083.40, 189,174.03 and 76,654.16 is: 105,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,083.40 : 189,174.03 = 76,654.16 : x
  2. Step 2: Convert to fraction form
    137,083.40/189,174.03 = 76,654.16/x
  3. Step 3: Cross multiply
    137,083.40x = 189,174.03 × 76,654.16
  4. Step 4: Simplify right side
    137,083.40x = 14,500,976,548.95
  5. Step 5: Solve for x
    x = 14,500,976,548.95/137,083.40
  6. Step 6: Final answer
    x = 105,782.15

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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.