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Finding the Fourth Proportional to 138,363.14, 189,695.70 and 135,840.88

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Solution

The fourth proportional to 138,363.14, 189,695.70 and 135,840.88 is: 186,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,363.14 : 189,695.70 = 135,840.88 : x
  2. Step 2: Convert to fraction form
    138,363.14/189,695.70 = 135,840.88/x
  3. Step 3: Cross multiply
    138,363.14x = 189,695.70 × 135,840.88
  4. Step 4: Simplify right side
    138,363.14x = 25,768,430,820.22
  5. Step 5: Solve for x
    x = 25,768,430,820.22/138,363.14
  6. Step 6: Final answer
    x = 186,237.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.