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Finding the Fourth Proportional to 178,314.51, 267,558.75 and 78,462.12

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Solution

The fourth proportional to 178,314.51, 267,558.75 and 78,462.12 is: 117,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,314.51 : 267,558.75 = 78,462.12 : x
  2. Step 2: Convert to fraction form
    178,314.51/267,558.75 = 78,462.12/x
  3. Step 3: Cross multiply
    178,314.51x = 267,558.75 × 78,462.12
  4. Step 4: Simplify right side
    178,314.51x = 20,993,226,749.55
  5. Step 5: Solve for x
    x = 20,993,226,749.55/178,314.51
  6. Step 6: Final answer
    x = 117,731.46

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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.