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Finding the Fourth Proportional to 176,413.48, 264,628.86 and 71,219.32

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Solution

The fourth proportional to 176,413.48, 264,628.86 and 71,219.32 is: 106,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,413.48 : 264,628.86 = 71,219.32 : x
  2. Step 2: Convert to fraction form
    176,413.48/264,628.86 = 71,219.32/x
  3. Step 3: Cross multiply
    176,413.48x = 264,628.86 × 71,219.32
  4. Step 4: Simplify right side
    176,413.48x = 18,846,687,461.58
  5. Step 5: Solve for x
    x = 18,846,687,461.58/176,413.48
  6. Step 6: Final answer
    x = 106,832.47

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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.