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Finding the Fourth Proportional to 178,205.47, 267,311.58 and 58,262.47

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Solution

The fourth proportional to 178,205.47, 267,311.58 and 58,262.47 is: 87,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,205.47 : 267,311.58 = 58,262.47 : x
  2. Step 2: Convert to fraction form
    178,205.47/267,311.58 = 58,262.47/x
  3. Step 3: Cross multiply
    178,205.47x = 267,311.58 × 58,262.47
  4. Step 4: Simplify right side
    178,205.47x = 15,574,232,910.40
  5. Step 5: Solve for x
    x = 15,574,232,910.40/178,205.47
  6. Step 6: Final answer
    x = 87,394.81

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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.