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Finding the Fourth Proportional to 82,110.80, 123,166.20 and 78,830.30

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Solution

The fourth proportional to 82,110.80, 123,166.20 and 78,830.30 is: 118,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,110.80 : 123,166.20 = 78,830.30 : x
  2. Step 2: Convert to fraction form
    82,110.80/123,166.20 = 78,830.30/x
  3. Step 3: Cross multiply
    82,110.80x = 123,166.20 × 78,830.30
  4. Step 4: Simplify right side
    82,110.80x = 9,709,228,495.86
  5. Step 5: Solve for x
    x = 9,709,228,495.86/82,110.80
  6. Step 6: Final answer
    x = 118,245.45

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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.