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Finding the Fourth Proportional to 186,865.80, 280,132.04 and 68,509.56

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Solution

The fourth proportional to 186,865.80, 280,132.04 and 68,509.56 is: 102,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,865.80 : 280,132.04 = 68,509.56 : x
  2. Step 2: Convert to fraction form
    186,865.80/280,132.04 = 68,509.56/x
  3. Step 3: Cross multiply
    186,865.80x = 280,132.04 × 68,509.56
  4. Step 4: Simplify right side
    186,865.80x = 19,191,722,802.30
  5. Step 5: Solve for x
    x = 19,191,722,802.30/186,865.80
  6. Step 6: Final answer
    x = 102,703.24

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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.