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Finding the Fourth Proportional to 201,731.70, 302,597.55 and 192,546.30

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Solution

The fourth proportional to 201,731.70, 302,597.55 and 192,546.30 is: 288,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,731.70 : 302,597.55 = 192,546.30 : x
  2. Step 2: Convert to fraction form
    201,731.70/302,597.55 = 192,546.30/x
  3. Step 3: Cross multiply
    201,731.70x = 302,597.55 × 192,546.30
  4. Step 4: Simplify right side
    201,731.70x = 58,264,038,641.57
  5. Step 5: Solve for x
    x = 58,264,038,641.57/201,731.70
  6. Step 6: Final answer
    x = 288,819.45

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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.