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Finding the Fourth Proportional to 178,461.45, 267,166.24 and 156,318.08

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Solution

The fourth proportional to 178,461.45, 267,166.24 and 156,318.08 is: 234,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,461.45 : 267,166.24 = 156,318.08 : x
  2. Step 2: Convert to fraction form
    178,461.45/267,166.24 = 156,318.08/x
  3. Step 3: Cross multiply
    178,461.45x = 267,166.24 × 156,318.08
  4. Step 4: Simplify right side
    178,461.45x = 41,762,911,950.99
  5. Step 5: Solve for x
    x = 41,762,911,950.99/178,461.45
  6. Step 6: Final answer
    x = 234,016.43

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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.