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Finding the Fourth Proportional to 161,744.40, 242,616.60 and 147,747.60

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Solution

The fourth proportional to 161,744.40, 242,616.60 and 147,747.60 is: 221,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,744.40 : 242,616.60 = 147,747.60 : x
  2. Step 2: Convert to fraction form
    161,744.40/242,616.60 = 147,747.60/x
  3. Step 3: Cross multiply
    161,744.40x = 242,616.60 × 147,747.60
  4. Step 4: Simplify right side
    161,744.40x = 35,846,020,370.16
  5. Step 5: Solve for x
    x = 35,846,020,370.16/161,744.40
  6. Step 6: Final answer
    x = 221,621.40

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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.