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Finding the Fourth Proportional to 201,821.60, 302,586.60 and 113,102.30

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Solution

The fourth proportional to 201,821.60, 302,586.60 and 113,102.30 is: 169,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,821.60 : 302,586.60 = 113,102.30 : x
  2. Step 2: Convert to fraction form
    201,821.60/302,586.60 = 113,102.30/x
  3. Step 3: Cross multiply
    201,821.60x = 302,586.60 × 113,102.30
  4. Step 4: Simplify right side
    201,821.60x = 34,223,240,409.18
  5. Step 5: Solve for x
    x = 34,223,240,409.18/201,821.60
  6. Step 6: Final answer
    x = 169,571.74

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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.