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Finding the Fourth Proportional to 186,383.50, 257,233.53 and 110,932

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Solution

The fourth proportional to 186,383.50, 257,233.53 and 110,932 is: 153,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,383.50 : 257,233.53 = 110,932 : x
  2. Step 2: Convert to fraction form
    186,383.50/257,233.53 = 110,932/x
  3. Step 3: Cross multiply
    186,383.50x = 257,233.53 × 110,932
  4. Step 4: Simplify right side
    186,383.50x = 28,535,429,949.96
  5. Step 5: Solve for x
    x = 28,535,429,949.96/186,383.50
  6. Step 6: Final answer
    x = 153,100.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.