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Finding the Fourth Proportional to 183,784.30, 275,311.95 and 161,865.70

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Solution

The fourth proportional to 183,784.30, 275,311.95 and 161,865.70 is: 242,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,784.30 : 275,311.95 = 161,865.70 : x
  2. Step 2: Convert to fraction form
    183,784.30/275,311.95 = 161,865.70/x
  3. Step 3: Cross multiply
    183,784.30x = 275,311.95 × 161,865.70
  4. Step 4: Simplify right side
    183,784.30x = 44,563,561,505.12
  5. Step 5: Solve for x
    x = 44,563,561,505.12/183,784.30
  6. Step 6: Final answer
    x = 242,477.52

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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.