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Finding the Fourth Proportional to 229,193.80, 343,839.30 and 69,256.60

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Solution

The fourth proportional to 229,193.80, 343,839.30 and 69,256.60 is: 103,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,193.80 : 343,839.30 = 69,256.60 : x
  2. Step 2: Convert to fraction form
    229,193.80/343,839.30 = 69,256.60/x
  3. Step 3: Cross multiply
    229,193.80x = 343,839.30 × 69,256.60
  4. Step 4: Simplify right side
    229,193.80x = 23,813,140,864.38
  5. Step 5: Solve for x
    x = 23,813,140,864.38/229,193.80
  6. Step 6: Final answer
    x = 103,899.59

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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.