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Finding the Fourth Proportional to 179,678.40, 268,999.20 and 158,942.40

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Solution

The fourth proportional to 179,678.40, 268,999.20 and 158,942.40 is: 237,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,678.40 : 268,999.20 = 158,942.40 : x
  2. Step 2: Convert to fraction form
    179,678.40/268,999.20 = 158,942.40/x
  3. Step 3: Cross multiply
    179,678.40x = 268,999.20 × 158,942.40
  4. Step 4: Simplify right side
    179,678.40x = 42,755,378,446.08
  5. Step 5: Solve for x
    x = 42,755,378,446.08/179,678.40
  6. Step 6: Final answer
    x = 237,955.03

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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.