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Finding the Fourth Proportional to 171,866.24, 257,716.02 and 100,812.10

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Solution

The fourth proportional to 171,866.24, 257,716.02 and 100,812.10 is: 151,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,866.24 : 257,716.02 = 100,812.10 : x
  2. Step 2: Convert to fraction form
    171,866.24/257,716.02 = 100,812.10/x
  3. Step 3: Cross multiply
    171,866.24x = 257,716.02 × 100,812.10
  4. Step 4: Simplify right side
    171,866.24x = 25,980,893,179.84
  5. Step 5: Solve for x
    x = 25,980,893,179.84/171,866.24
  6. Step 6: Final answer
    x = 151,169.27

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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.