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Finding the Fourth Proportional to 139,815.60, 209,723.40 and 83,828.40

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Solution

The fourth proportional to 139,815.60, 209,723.40 and 83,828.40 is: 125,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,815.60 : 209,723.40 = 83,828.40 : x
  2. Step 2: Convert to fraction form
    139,815.60/209,723.40 = 83,828.40/x
  3. Step 3: Cross multiply
    139,815.60x = 209,723.40 × 83,828.40
  4. Step 4: Simplify right side
    139,815.60x = 17,580,777,064.56
  5. Step 5: Solve for x
    x = 17,580,777,064.56/139,815.60
  6. Step 6: Final answer
    x = 125,742.60

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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.