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Finding the Fourth Proportional to 178,223.10, 267,334.65 and 166,413.30

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Solution

The fourth proportional to 178,223.10, 267,334.65 and 166,413.30 is: 249,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,223.10 : 267,334.65 = 166,413.30 : x
  2. Step 2: Convert to fraction form
    178,223.10/267,334.65 = 166,413.30/x
  3. Step 3: Cross multiply
    178,223.10x = 267,334.65 × 166,413.30
  4. Step 4: Simplify right side
    178,223.10x = 44,488,041,310.85
  5. Step 5: Solve for x
    x = 44,488,041,310.85/178,223.10
  6. Step 6: Final answer
    x = 249,619.95

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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.