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Finding the Fourth Proportional to 186,865.80, 280,298.70 and 154,060.80

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Solution

The fourth proportional to 186,865.80, 280,298.70 and 154,060.80 is: 231,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,865.80 : 280,298.70 = 154,060.80 : x
  2. Step 2: Convert to fraction form
    186,865.80/280,298.70 = 154,060.80/x
  3. Step 3: Cross multiply
    186,865.80x = 280,298.70 × 154,060.80
  4. Step 4: Simplify right side
    186,865.80x = 43,183,041,960.96
  5. Step 5: Solve for x
    x = 43,183,041,960.96/186,865.80
  6. Step 6: Final answer
    x = 231,091.20

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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.