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Finding the Fourth Proportional to 186,866.06, 280,132.43 and 68,509.80

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Solution

The fourth proportional to 186,866.06, 280,132.43 and 68,509.80 is: 102,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,866.06 : 280,132.43 = 68,509.80 : x
  2. Step 2: Convert to fraction form
    186,866.06/280,132.43 = 68,509.80/x
  3. Step 3: Cross multiply
    186,866.06x = 280,132.43 × 68,509.80
  4. Step 4: Simplify right side
    186,866.06x = 19,191,816,410.27
  5. Step 5: Solve for x
    x = 19,191,816,410.27/186,866.06
  6. Step 6: Final answer
    x = 102,703.60

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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.