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Finding the Fourth Proportional to 178,216.57, 267,322.53 and 43,281.75

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Solution

The fourth proportional to 178,216.57, 267,322.53 and 43,281.75 is: 64,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,216.57 : 267,322.53 = 43,281.75 : x
  2. Step 2: Convert to fraction form
    178,216.57/267,322.53 = 43,281.75/x
  3. Step 3: Cross multiply
    178,216.57x = 267,322.53 × 43,281.75
  4. Step 4: Simplify right side
    178,216.57x = 11,570,186,912.83
  5. Step 5: Solve for x
    x = 11,570,186,912.83/178,216.57
  6. Step 6: Final answer
    x = 64,922.06

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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.