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Finding the Fourth Proportional to 201,687.10, 302,532.37 and 57,592.55

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Solution

The fourth proportional to 201,687.10, 302,532.37 and 57,592.55 is: 86,389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,687.10 : 302,532.37 = 57,592.55 : x
  2. Step 2: Convert to fraction form
    201,687.10/302,532.37 = 57,592.55/x
  3. Step 3: Cross multiply
    201,687.10x = 302,532.37 × 57,592.55
  4. Step 4: Simplify right side
    201,687.10x = 17,423,608,989.20
  5. Step 5: Solve for x
    x = 17,423,608,989.20/201,687.10
  6. Step 6: Final answer
    x = 86,389.31

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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.