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Finding the Fourth Proportional to 135,214.68, 186,594.66 and 74,780.58

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Solution

The fourth proportional to 135,214.68, 186,594.66 and 74,780.58 is: 103,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,214.68 : 186,594.66 = 74,780.58 : x
  2. Step 2: Convert to fraction form
    135,214.68/186,594.66 = 74,780.58/x
  3. Step 3: Cross multiply
    135,214.68x = 186,594.66 × 74,780.58
  4. Step 4: Simplify right side
    135,214.68x = 13,953,656,899.70
  5. Step 5: Solve for x
    x = 13,953,656,899.70/135,214.68
  6. Step 6: Final answer
    x = 103,196.32

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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.