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Finding the Fourth Proportional to 229,365, 316,523.70 and 128,763

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Solution

The fourth proportional to 229,365, 316,523.70 and 128,763 is: 177,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,365 : 316,523.70 = 128,763 : x
  2. Step 2: Convert to fraction form
    229,365/316,523.70 = 128,763/x
  3. Step 3: Cross multiply
    229,365x = 316,523.70 × 128,763
  4. Step 4: Simplify right side
    229,365x = 40,756,541,183.10
  5. Step 5: Solve for x
    x = 40,756,541,183.10/229,365
  6. Step 6: Final answer
    x = 177,692.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.