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Finding the Fourth Proportional to 135,205.58, 186,582.60 and 74,778.76

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Solution

The fourth proportional to 135,205.58, 186,582.60 and 74,778.76 is: 103,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,205.58 : 186,582.60 = 74,778.76 : x
  2. Step 2: Convert to fraction form
    135,205.58/186,582.60 = 74,778.76/x
  3. Step 3: Cross multiply
    135,205.58x = 186,582.60 × 74,778.76
  4. Step 4: Simplify right side
    135,205.58x = 13,952,415,465.58
  5. Step 5: Solve for x
    x = 13,952,415,465.58/135,205.58
  6. Step 6: Final answer
    x = 103,194.08

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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.