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Finding the Fourth Proportional to 186,895.20, 280,342.80 and 140,239.20

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Solution

The fourth proportional to 186,895.20, 280,342.80 and 140,239.20 is: 210,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,895.20 : 280,342.80 = 140,239.20 : x
  2. Step 2: Convert to fraction form
    186,895.20/280,342.80 = 140,239.20/x
  3. Step 3: Cross multiply
    186,895.20x = 280,342.80 × 140,239.20
  4. Step 4: Simplify right side
    186,895.20x = 39,315,049,997.76
  5. Step 5: Solve for x
    x = 39,315,049,997.76/186,895.20
  6. Step 6: Final answer
    x = 210,358.80

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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.