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Finding the Fourth Proportional to 135,200.34, 202,829.47 and 40,437.83

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Solution

The fourth proportional to 135,200.34, 202,829.47 and 40,437.83 is: 60,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,200.34 : 202,829.47 = 40,437.83 : x
  2. Step 2: Convert to fraction form
    135,200.34/202,829.47 = 40,437.83/x
  3. Step 3: Cross multiply
    135,200.34x = 202,829.47 × 40,437.83
  4. Step 4: Simplify right side
    135,200.34x = 8,201,984,032.83
  5. Step 5: Solve for x
    x = 8,201,984,032.83/135,200.34
  6. Step 6: Final answer
    x = 60,665.41

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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.