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Finding the Fourth Proportional to 201,722.70, 302,454.45 and 83,441.10

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Solution

The fourth proportional to 201,722.70, 302,454.45 and 83,441.10 is: 125,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,722.70 : 302,454.45 = 83,441.10 : x
  2. Step 2: Convert to fraction form
    201,722.70/302,454.45 = 83,441.10/x
  3. Step 3: Cross multiply
    201,722.70x = 302,454.45 × 83,441.10
  4. Step 4: Simplify right side
    201,722.70x = 25,237,132,007.90
  5. Step 5: Solve for x
    x = 25,237,132,007.90/201,722.70
  6. Step 6: Final answer
    x = 125,108.04

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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.