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Finding the Fourth Proportional to 229,221.60, 343,176.30 and 202,977.60

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Solution

The fourth proportional to 229,221.60, 343,176.30 and 202,977.60 is: 303,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,221.60 : 343,176.30 = 202,977.60 : x
  2. Step 2: Convert to fraction form
    229,221.60/343,176.30 = 202,977.60/x
  3. Step 3: Cross multiply
    229,221.60x = 343,176.30 × 202,977.60
  4. Step 4: Simplify right side
    229,221.60x = 69,657,101,750.88
  5. Step 5: Solve for x
    x = 69,657,101,750.88/229,221.60
  6. Step 6: Final answer
    x = 303,885.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.