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Finding the Fourth Proportional to 135,212.64, 202,823.10 and 46,464.88

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Solution

The fourth proportional to 135,212.64, 202,823.10 and 46,464.88 is: 69,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,212.64 : 202,823.10 = 46,464.88 : x
  2. Step 2: Convert to fraction form
    135,212.64/202,823.10 = 46,464.88/x
  3. Step 3: Cross multiply
    135,212.64x = 202,823.10 × 46,464.88
  4. Step 4: Simplify right side
    135,212.64x = 9,424,151,002.73
  5. Step 5: Solve for x
    x = 9,424,151,002.73/135,212.64
  6. Step 6: Final answer
    x = 69,698.74

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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.