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Finding the Fourth Proportional to 186,912.70, 280,433.85 and 81,807.10

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Solution

The fourth proportional to 186,912.70, 280,433.85 and 81,807.10 is: 122,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,912.70 : 280,433.85 = 81,807.10 : x
  2. Step 2: Convert to fraction form
    186,912.70/280,433.85 = 81,807.10/x
  3. Step 3: Cross multiply
    186,912.70x = 280,433.85 × 81,807.10
  4. Step 4: Simplify right side
    186,912.70x = 22,941,480,010.34
  5. Step 5: Solve for x
    x = 22,941,480,010.34/186,912.70
  6. Step 6: Final answer
    x = 122,739.01

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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.