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Finding the Fourth Proportional to 137,489.90, 189,681.21 and 80,120.63

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Solution

The fourth proportional to 137,489.90, 189,681.21 and 80,120.63 is: 110,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,489.90 : 189,681.21 = 80,120.63 : x
  2. Step 2: Convert to fraction form
    137,489.90/189,681.21 = 80,120.63/x
  3. Step 3: Cross multiply
    137,489.90x = 189,681.21 × 80,120.63
  4. Step 4: Simplify right side
    137,489.90x = 15,197,378,518.57
  5. Step 5: Solve for x
    x = 15,197,378,518.57/137,489.90
  6. Step 6: Final answer
    x = 110,534.51

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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.