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Finding the Fourth Proportional to 229,357.20, 343,344.60 and 201,709.20

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Solution

The fourth proportional to 229,357.20, 343,344.60 and 201,709.20 is: 301,955.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,357.20 : 343,344.60 = 201,709.20 : x
  2. Step 2: Convert to fraction form
    229,357.20/343,344.60 = 201,709.20/x
  3. Step 3: Cross multiply
    229,357.20x = 343,344.60 × 201,709.20
  4. Step 4: Simplify right side
    229,357.20x = 69,255,764,590.32
  5. Step 5: Solve for x
    x = 69,255,764,590.32/229,357.20
  6. Step 6: Final answer
    x = 301,955.92

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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.