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Finding the Fourth Proportional to 186,998.40, 280,411.20 and 81,763.20

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Solution

The fourth proportional to 186,998.40, 280,411.20 and 81,763.20 is: 122,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,998.40 : 280,411.20 = 81,763.20 : x
  2. Step 2: Convert to fraction form
    186,998.40/280,411.20 = 81,763.20/x
  3. Step 3: Cross multiply
    186,998.40x = 280,411.20 × 81,763.20
  4. Step 4: Simplify right side
    186,998.40x = 22,927,317,027.84
  5. Step 5: Solve for x
    x = 22,927,317,027.84/186,998.40
  6. Step 6: Final answer
    x = 122,607.02

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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.