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Finding the Fourth Proportional to 201,914.60, 302,871.90 and 186,708.20

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Solution

The fourth proportional to 201,914.60, 302,871.90 and 186,708.20 is: 280,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914.60 : 302,871.90 = 186,708.20 : x
  2. Step 2: Convert to fraction form
    201,914.60/302,871.90 = 186,708.20/x
  3. Step 3: Cross multiply
    201,914.60x = 302,871.90 × 186,708.20
  4. Step 4: Simplify right side
    201,914.60x = 56,548,667,279.58
  5. Step 5: Solve for x
    x = 56,548,667,279.58/201,914.60
  6. Step 6: Final answer
    x = 280,062.30

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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.