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Finding the Fourth Proportional to 175,057.20, 262,585.80 and 114,922.80

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Solution

The fourth proportional to 175,057.20, 262,585.80 and 114,922.80 is: 172,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,057.20 : 262,585.80 = 114,922.80 : x
  2. Step 2: Convert to fraction form
    175,057.20/262,585.80 = 114,922.80/x
  3. Step 3: Cross multiply
    175,057.20x = 262,585.80 × 114,922.80
  4. Step 4: Simplify right side
    175,057.20x = 30,177,095,376.24
  5. Step 5: Solve for x
    x = 30,177,095,376.24/175,057.20
  6. Step 6: Final answer
    x = 172,384.20

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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.