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Finding the Fourth Proportional to 126,175.60, 189,259.14 and 31,405.60

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Solution

The fourth proportional to 126,175.60, 189,259.14 and 31,405.60 is: 47,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,175.60 : 189,259.14 = 31,405.60 : x
  2. Step 2: Convert to fraction form
    126,175.60/189,259.14 = 31,405.60/x
  3. Step 3: Cross multiply
    126,175.60x = 189,259.14 × 31,405.60
  4. Step 4: Simplify right side
    126,175.60x = 5,943,796,847.18
  5. Step 5: Solve for x
    x = 5,943,796,847.18/126,175.60
  6. Step 6: Final answer
    x = 47,107.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.