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Finding the Fourth Proportional to 137,027.28, 189,128.14 and 83,300.88

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Solution

The fourth proportional to 137,027.28, 189,128.14 and 83,300.88 is: 114,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,027.28 : 189,128.14 = 83,300.88 : x
  2. Step 2: Convert to fraction form
    137,027.28/189,128.14 = 83,300.88/x
  3. Step 3: Cross multiply
    137,027.28x = 189,128.14 × 83,300.88
  4. Step 4: Simplify right side
    137,027.28x = 15,754,540,494.76
  5. Step 5: Solve for x
    x = 15,754,540,494.76/137,027.28
  6. Step 6: Final answer
    x = 114,973.75

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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.