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Finding the Fourth Proportional to 186,231, 256,953.96 and 109,753.14

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Solution

The fourth proportional to 186,231, 256,953.96 and 109,753.14 is: 151,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,231 : 256,953.96 = 109,753.14 : x
  2. Step 2: Convert to fraction form
    186,231/256,953.96 = 109,753.14/x
  3. Step 3: Cross multiply
    186,231x = 256,953.96 × 109,753.14
  4. Step 4: Simplify right side
    186,231x = 28,201,503,945.43
  5. Step 5: Solve for x
    x = 28,201,503,945.43/186,231
  6. Step 6: Final answer
    x = 151,432.92

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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.