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Finding the Fourth Proportional to 178,483.17, 267,749.82 and 52,132.69

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Solution

The fourth proportional to 178,483.17, 267,749.82 and 52,132.69 is: 78,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,483.17 : 267,749.82 = 52,132.69 : x
  2. Step 2: Convert to fraction form
    178,483.17/267,749.82 = 52,132.69/x
  3. Step 3: Cross multiply
    178,483.17x = 267,749.82 × 52,132.69
  4. Step 4: Simplify right side
    178,483.17x = 13,958,518,698.30
  5. Step 5: Solve for x
    x = 13,958,518,698.30/178,483.17
  6. Step 6: Final answer
    x = 78,206.36

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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.