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Finding the Fourth Proportional to 229,700.20, 343,772.70 and 201,706.60

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Solution

The fourth proportional to 229,700.20, 343,772.70 and 201,706.60 is: 301,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,700.20 : 343,772.70 = 201,706.60 : x
  2. Step 2: Convert to fraction form
    229,700.20/343,772.70 = 201,706.60/x
  3. Step 3: Cross multiply
    229,700.20x = 343,772.70 × 201,706.60
  4. Step 4: Simplify right side
    229,700.20x = 69,341,222,489.82
  5. Step 5: Solve for x
    x = 69,341,222,489.82/229,700.20
  6. Step 6: Final answer
    x = 301,877.07

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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.