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Finding the Fourth Proportional to 186,897, 280,462.14 and 76,089

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Solution

The fourth proportional to 186,897, 280,462.14 and 76,089 is: 114,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,897 : 280,462.14 = 76,089 : x
  2. Step 2: Convert to fraction form
    186,897/280,462.14 = 76,089/x
  3. Step 3: Cross multiply
    186,897x = 280,462.14 × 76,089
  4. Step 4: Simplify right side
    186,897x = 21,340,083,770.46
  5. Step 5: Solve for x
    x = 21,340,083,770.46/186,897
  6. Step 6: Final answer
    x = 114,180.99

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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.