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Finding the Fourth Proportional to 229,292.74, 343,822 and 134,707.69

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Solution

The fourth proportional to 229,292.74, 343,822 and 134,707.69 is: 201,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,292.74 : 343,822 = 134,707.69 : x
  2. Step 2: Convert to fraction form
    229,292.74/343,822 = 134,707.69/x
  3. Step 3: Cross multiply
    229,292.74x = 343,822 × 134,707.69
  4. Step 4: Simplify right side
    229,292.74x = 46,315,467,391.18
  5. Step 5: Solve for x
    x = 46,315,467,391.18/229,292.74
  6. Step 6: Final answer
    x = 201,992.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.