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Finding the Fourth Proportional to 171,438.60, 257,303.70 and 76,814.40

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Solution

The fourth proportional to 171,438.60, 257,303.70 and 76,814.40 is: 115,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,438.60 : 257,303.70 = 76,814.40 : x
  2. Step 2: Convert to fraction form
    171,438.60/257,303.70 = 76,814.40/x
  3. Step 3: Cross multiply
    171,438.60x = 257,303.70 × 76,814.40
  4. Step 4: Simplify right side
    171,438.60x = 19,764,629,333.28
  5. Step 5: Solve for x
    x = 19,764,629,333.28/171,438.60
  6. Step 6: Final answer
    x = 115,286.93

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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.