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Finding the Fourth Proportional to 186,894, 280,457.64 and 76,086

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Solution

The fourth proportional to 186,894, 280,457.64 and 76,086 is: 114,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,894 : 280,457.64 = 76,086 : x
  2. Step 2: Convert to fraction form
    186,894/280,457.64 = 76,086/x
  3. Step 3: Cross multiply
    186,894x = 280,457.64 × 76,086
  4. Step 4: Simplify right side
    186,894x = 21,338,899,997.04
  5. Step 5: Solve for x
    x = 21,338,899,997.04/186,894
  6. Step 6: Final answer
    x = 114,176.49

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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.