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Finding the Fourth Proportional to 186,895, 280,459.14 and 76,087

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Solution

The fourth proportional to 186,895, 280,459.14 and 76,087 is: 114,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,895 : 280,459.14 = 76,087 : x
  2. Step 2: Convert to fraction form
    186,895/280,459.14 = 76,087/x
  3. Step 3: Cross multiply
    186,895x = 280,459.14 × 76,087
  4. Step 4: Simplify right side
    186,895x = 21,339,294,585.18
  5. Step 5: Solve for x
    x = 21,339,294,585.18/186,895
  6. Step 6: Final answer
    x = 114,177.99

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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.