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Finding the Fourth Proportional to 186,817.42, 280,196.09 and 53,667.42

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Solution

The fourth proportional to 186,817.42, 280,196.09 and 53,667.42 is: 80,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,817.42 : 280,196.09 = 53,667.42 : x
  2. Step 2: Convert to fraction form
    186,817.42/280,196.09 = 53,667.42/x
  3. Step 3: Cross multiply
    186,817.42x = 280,196.09 × 53,667.42
  4. Step 4: Simplify right side
    186,817.42x = 15,037,401,244.39
  5. Step 5: Solve for x
    x = 15,037,401,244.39/186,817.42
  6. Step 6: Final answer
    x = 80,492.50

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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.