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Finding the Fourth Proportional to 139,849.40, 209,774.10 and 86,705.30

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Solution

The fourth proportional to 139,849.40, 209,774.10 and 86,705.30 is: 130,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,849.40 : 209,774.10 = 86,705.30 : x
  2. Step 2: Convert to fraction form
    139,849.40/209,774.10 = 86,705.30/x
  3. Step 3: Cross multiply
    139,849.40x = 209,774.10 × 86,705.30
  4. Step 4: Simplify right side
    139,849.40x = 18,188,526,272.73
  5. Step 5: Solve for x
    x = 18,188,526,272.73/139,849.40
  6. Step 6: Final answer
    x = 130,057.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.