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Finding the Fourth Proportional to 201,861.60, 302,792.40 and 145,874.40

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Solution

The fourth proportional to 201,861.60, 302,792.40 and 145,874.40 is: 218,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,861.60 : 302,792.40 = 145,874.40 : x
  2. Step 2: Convert to fraction form
    201,861.60/302,792.40 = 145,874.40/x
  3. Step 3: Cross multiply
    201,861.60x = 302,792.40 × 145,874.40
  4. Step 4: Simplify right side
    201,861.60x = 44,169,659,674.56
  5. Step 5: Solve for x
    x = 44,169,659,674.56/201,861.60
  6. Step 6: Final answer
    x = 218,811.60

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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.