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Finding the Fourth Proportional to 229,689.20, 343,756.20 and 201,695.60

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Solution

The fourth proportional to 229,689.20, 343,756.20 and 201,695.60 is: 301,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,689.20 : 343,756.20 = 201,695.60 : x
  2. Step 2: Convert to fraction form
    229,689.20/343,756.20 = 201,695.60/x
  3. Step 3: Cross multiply
    229,689.20x = 343,756.20 × 201,695.60
  4. Step 4: Simplify right side
    229,689.20x = 69,334,113,012.72
  5. Step 5: Solve for x
    x = 69,334,113,012.72/229,689.20
  6. Step 6: Final answer
    x = 301,860.57

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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.