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Finding the Fourth Proportional to 167,856.30, 251,784.45 and 161,405.10

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Solution

The fourth proportional to 167,856.30, 251,784.45 and 161,405.10 is: 242,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,856.30 : 251,784.45 = 161,405.10 : x
  2. Step 2: Convert to fraction form
    167,856.30/251,784.45 = 161,405.10/x
  3. Step 3: Cross multiply
    167,856.30x = 251,784.45 × 161,405.10
  4. Step 4: Simplify right side
    167,856.30x = 40,639,294,330.70
  5. Step 5: Solve for x
    x = 40,639,294,330.70/167,856.30
  6. Step 6: Final answer
    x = 242,107.65

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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.