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Finding the Fourth Proportional to 229,281.80, 343,404.30 and 135,969.80

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Solution

The fourth proportional to 229,281.80, 343,404.30 and 135,969.80 is: 203,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,281.80 : 343,404.30 = 135,969.80 : x
  2. Step 2: Convert to fraction form
    229,281.80/343,404.30 = 135,969.80/x
  3. Step 3: Cross multiply
    229,281.80x = 343,404.30 × 135,969.80
  4. Step 4: Simplify right side
    229,281.80x = 46,692,613,990.14
  5. Step 5: Solve for x
    x = 46,692,613,990.14/229,281.80
  6. Step 6: Final answer
    x = 203,647.28

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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.