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Finding the Fourth Proportional to 164,536.45, 246,825.16 and 57,895.22

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Solution

The fourth proportional to 164,536.45, 246,825.16 and 57,895.22 is: 86,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,536.45 : 246,825.16 = 57,895.22 : x
  2. Step 2: Convert to fraction form
    164,536.45/246,825.16 = 57,895.22/x
  3. Step 3: Cross multiply
    164,536.45x = 246,825.16 × 57,895.22
  4. Step 4: Simplify right side
    164,536.45x = 14,289,997,412.06
  5. Step 5: Solve for x
    x = 14,289,997,412.06/164,536.45
  6. Step 6: Final answer
    x = 86,850.04

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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.