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Finding the Fourth Proportional to 171,802.80, 257,704.20 and 119,314.80

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Solution

The fourth proportional to 171,802.80, 257,704.20 and 119,314.80 is: 178,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,802.80 : 257,704.20 = 119,314.80 : x
  2. Step 2: Convert to fraction form
    171,802.80/257,704.20 = 119,314.80/x
  3. Step 3: Cross multiply
    171,802.80x = 257,704.20 × 119,314.80
  4. Step 4: Simplify right side
    171,802.80x = 30,747,925,082.16
  5. Step 5: Solve for x
    x = 30,747,925,082.16/171,802.80
  6. Step 6: Final answer
    x = 178,972.20

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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.