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Finding the Fourth Proportional to 178,463.24, 267,702.15 and 45,346.93

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Solution

The fourth proportional to 178,463.24, 267,702.15 and 45,346.93 is: 68,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,463.24 : 267,702.15 = 45,346.93 : x
  2. Step 2: Convert to fraction form
    178,463.24/267,702.15 = 45,346.93/x
  3. Step 3: Cross multiply
    178,463.24x = 267,702.15 × 45,346.93
  4. Step 4: Simplify right side
    178,463.24x = 12,139,469,091.65
  5. Step 5: Solve for x
    x = 12,139,469,091.65/178,463.24
  6. Step 6: Final answer
    x = 68,022.24

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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.