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Finding the Fourth Proportional to 186,857.40, 280,199.70 and 81,622.20

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Solution

The fourth proportional to 186,857.40, 280,199.70 and 81,622.20 is: 122,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,857.40 : 280,199.70 = 81,622.20 : x
  2. Step 2: Convert to fraction form
    186,857.40/280,199.70 = 81,622.20/x
  3. Step 3: Cross multiply
    186,857.40x = 280,199.70 × 81,622.20
  4. Step 4: Simplify right side
    186,857.40x = 22,870,515,953.34
  5. Step 5: Solve for x
    x = 22,870,515,953.34/186,857.40
  6. Step 6: Final answer
    x = 122,395.56

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1.5x scale

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.