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Finding the Fourth Proportional to 186,851.81, 280,389.80 and 68,535.11

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Solution

The fourth proportional to 186,851.81, 280,389.80 and 68,535.11 is: 102,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,851.81 : 280,389.80 = 68,535.11 : x
  2. Step 2: Convert to fraction form
    186,851.81/280,389.80 = 68,535.11/x
  3. Step 3: Cross multiply
    186,851.81x = 280,389.80 × 68,535.11
  4. Step 4: Simplify right side
    186,851.81x = 19,216,546,658.19
  5. Step 5: Solve for x
    x = 19,216,546,658.19/186,851.81
  6. Step 6: Final answer
    x = 102,843.78

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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.