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Finding the Fourth Proportional to 135,820.58, 203,772.58 and 64,833.80

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Solution

The fourth proportional to 135,820.58, 203,772.58 and 64,833.80 is: 97,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,820.58 : 203,772.58 = 64,833.80 : x
  2. Step 2: Convert to fraction form
    135,820.58/203,772.58 = 64,833.80/x
  3. Step 3: Cross multiply
    135,820.58x = 203,772.58 × 64,833.80
  4. Step 4: Simplify right side
    135,820.58x = 13,211,350,697.20
  5. Step 5: Solve for x
    x = 13,211,350,697.20/135,820.58
  6. Step 6: Final answer
    x = 97,270.61

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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.