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Finding the Fourth Proportional to 186,872.20, 280,308.30 and 144,881.80

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Solution

The fourth proportional to 186,872.20, 280,308.30 and 144,881.80 is: 217,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,872.20 : 280,308.30 = 144,881.80 : x
  2. Step 2: Convert to fraction form
    186,872.20/280,308.30 = 144,881.80/x
  3. Step 3: Cross multiply
    186,872.20x = 280,308.30 × 144,881.80
  4. Step 4: Simplify right side
    186,872.20x = 40,611,571,058.94
  5. Step 5: Solve for x
    x = 40,611,571,058.94/186,872.20
  6. Step 6: Final answer
    x = 217,322.70

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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.