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Finding the Fourth Proportional to 229,162.91, 343,739.09 and 134,990.50

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Solution

The fourth proportional to 229,162.91, 343,739.09 and 134,990.50 is: 202,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,162.91 : 343,739.09 = 134,990.50 : x
  2. Step 2: Convert to fraction form
    229,162.91/343,739.09 = 134,990.50/x
  3. Step 3: Cross multiply
    229,162.91x = 343,739.09 × 134,990.50
  4. Step 4: Simplify right side
    229,162.91x = 46,401,509,235.00
  5. Step 5: Solve for x
    x = 46,401,509,235.00/229,162.91
  6. Step 6: Final answer
    x = 202,482.63

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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.