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Finding the Fourth Proportional to 135,022.86, 186,317.55 and 78,423.30

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Solution

The fourth proportional to 135,022.86, 186,317.55 and 78,423.30 is: 108,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,022.86 : 186,317.55 = 78,423.30 : x
  2. Step 2: Convert to fraction form
    135,022.86/186,317.55 = 78,423.30/x
  3. Step 3: Cross multiply
    135,022.86x = 186,317.55 × 78,423.30
  4. Step 4: Simplify right side
    135,022.86x = 14,611,637,118.92
  5. Step 5: Solve for x
    x = 14,611,637,118.92/135,022.86
  6. Step 6: Final answer
    x = 108,216.02

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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.