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Finding the Fourth Proportional to 114,891.30, 172,338.11 and 34,942.22

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Solution

The fourth proportional to 114,891.30, 172,338.11 and 34,942.22 is: 52,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,891.30 : 172,338.11 = 34,942.22 : x
  2. Step 2: Convert to fraction form
    114,891.30/172,338.11 = 34,942.22/x
  3. Step 3: Cross multiply
    114,891.30x = 172,338.11 × 34,942.22
  4. Step 4: Simplify right side
    114,891.30x = 6,021,875,117.60
  5. Step 5: Solve for x
    x = 6,021,875,117.60/114,891.30
  6. Step 6: Final answer
    x = 52,413.67

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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.