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Finding the Fourth Proportional to 126,357.56, 174,331.45 and 83,358.40

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Solution

The fourth proportional to 126,357.56, 174,331.45 and 83,358.40 is: 115,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,357.56 : 174,331.45 = 83,358.40 : x
  2. Step 2: Convert to fraction form
    126,357.56/174,331.45 = 83,358.40/x
  3. Step 3: Cross multiply
    126,357.56x = 174,331.45 × 83,358.40
  4. Step 4: Simplify right side
    126,357.56x = 14,531,990,741.68
  5. Step 5: Solve for x
    x = 14,531,990,741.68/126,357.56
  6. Step 6: Final answer
    x = 115,006.90

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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.