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Finding the Fourth Proportional to 135,582.64, 203,238.48 and 64,380

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Solution

The fourth proportional to 135,582.64, 203,238.48 and 64,380 is: 96,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,582.64 : 203,238.48 = 64,380 : x
  2. Step 2: Convert to fraction form
    135,582.64/203,238.48 = 64,380/x
  3. Step 3: Cross multiply
    135,582.64x = 203,238.48 × 64,380
  4. Step 4: Simplify right side
    135,582.64x = 13,084,493,342.40
  5. Step 5: Solve for x
    x = 13,084,493,342.40/135,582.64
  6. Step 6: Final answer
    x = 96,505.67

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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.