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Finding the Fourth Proportional to 197,287.40, 295,931.10 and 134,301.80

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Solution

The fourth proportional to 197,287.40, 295,931.10 and 134,301.80 is: 201,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,287.40 : 295,931.10 = 134,301.80 : x
  2. Step 2: Convert to fraction form
    197,287.40/295,931.10 = 134,301.80/x
  3. Step 3: Cross multiply
    197,287.40x = 295,931.10 × 134,301.80
  4. Step 4: Simplify right side
    197,287.40x = 39,744,079,405.98
  5. Step 5: Solve for x
    x = 39,744,079,405.98/197,287.40
  6. Step 6: Final answer
    x = 201,452.70

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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.