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Finding the Fourth Proportional to 229,025.80, 343,020.30 and 135,713.80

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Solution

The fourth proportional to 229,025.80, 343,020.30 and 135,713.80 is: 203,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,025.80 : 343,020.30 = 135,713.80 : x
  2. Step 2: Convert to fraction form
    229,025.80/343,020.30 = 135,713.80/x
  3. Step 3: Cross multiply
    229,025.80x = 343,020.30 × 135,713.80
  4. Step 4: Simplify right side
    229,025.80x = 46,552,588,390.14
  5. Step 5: Solve for x
    x = 46,552,588,390.14/229,025.80
  6. Step 6: Final answer
    x = 203,263.51

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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.