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Finding the Fourth Proportional to 201,723.60, 302,585.40 and 130,864.80

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Solution

The fourth proportional to 201,723.60, 302,585.40 and 130,864.80 is: 196,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,723.60 : 302,585.40 = 130,864.80 : x
  2. Step 2: Convert to fraction form
    201,723.60/302,585.40 = 130,864.80/x
  3. Step 3: Cross multiply
    201,723.60x = 302,585.40 × 130,864.80
  4. Step 4: Simplify right side
    201,723.60x = 39,597,777,853.92
  5. Step 5: Solve for x
    x = 39,597,777,853.92/201,723.60
  6. Step 6: Final answer
    x = 196,297.20

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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.