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Finding the Fourth Proportional to 102,405.60, 153,608.40 and 66,976.20

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Solution

The fourth proportional to 102,405.60, 153,608.40 and 66,976.20 is: 100,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,405.60 : 153,608.40 = 66,976.20 : x
  2. Step 2: Convert to fraction form
    102,405.60/153,608.40 = 66,976.20/x
  3. Step 3: Cross multiply
    102,405.60x = 153,608.40 × 66,976.20
  4. Step 4: Simplify right side
    102,405.60x = 10,288,106,920.08
  5. Step 5: Solve for x
    x = 10,288,106,920.08/102,405.60
  6. Step 6: Final answer
    x = 100,464.30

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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.