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Finding the Fourth Proportional to 176,074.60, 264,695.10 and 150,413.80

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Solution

The fourth proportional to 176,074.60, 264,695.10 and 150,413.80 is: 226,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,074.60 : 264,695.10 = 150,413.80 : x
  2. Step 2: Convert to fraction form
    176,074.60/264,695.10 = 150,413.80/x
  3. Step 3: Cross multiply
    176,074.60x = 264,695.10 × 150,413.80
  4. Step 4: Simplify right side
    176,074.60x = 39,813,795,832.38
  5. Step 5: Solve for x
    x = 39,813,795,832.38/176,074.60
  6. Step 6: Final answer
    x = 226,118.91

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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.