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Finding the Fourth Proportional to 136,677.60, 204,919.20 and 52,405.20

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Solution

The fourth proportional to 136,677.60, 204,919.20 and 52,405.20 is: 78,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,677.60 : 204,919.20 = 52,405.20 : x
  2. Step 2: Convert to fraction form
    136,677.60/204,919.20 = 52,405.20/x
  3. Step 3: Cross multiply
    136,677.60x = 204,919.20 × 52,405.20
  4. Step 4: Simplify right side
    136,677.60x = 10,738,831,659.84
  5. Step 5: Solve for x
    x = 10,738,831,659.84/136,677.60
  6. Step 6: Final answer
    x = 78,570.53

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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.