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Finding the Fourth Proportional to 186,803.91, 280,396.47 and 136,735.28

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Solution

The fourth proportional to 186,803.91, 280,396.47 and 136,735.28 is: 205,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,803.91 : 280,396.47 = 136,735.28 : x
  2. Step 2: Convert to fraction form
    186,803.91/280,396.47 = 136,735.28/x
  3. Step 3: Cross multiply
    186,803.91x = 280,396.47 × 136,735.28
  4. Step 4: Simplify right side
    186,803.91x = 38,340,089,836.46
  5. Step 5: Solve for x
    x = 38,340,089,836.46/186,803.91
  6. Step 6: Final answer
    x = 205,242.44

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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.