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Finding the Fourth Proportional to 161,722.70, 242,584.05 and 144,809.90

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Solution

The fourth proportional to 161,722.70, 242,584.05 and 144,809.90 is: 217,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,722.70 : 242,584.05 = 144,809.90 : x
  2. Step 2: Convert to fraction form
    161,722.70/242,584.05 = 144,809.90/x
  3. Step 3: Cross multiply
    161,722.70x = 242,584.05 × 144,809.90
  4. Step 4: Simplify right side
    161,722.70x = 35,128,572,022.10
  5. Step 5: Solve for x
    x = 35,128,572,022.10/161,722.70
  6. Step 6: Final answer
    x = 217,214.85

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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.