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Finding the Fourth Proportional to 332,536.80, 498,878.10 and 164,137.80

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Solution

The fourth proportional to 332,536.80, 498,878.10 and 164,137.80 is: 246,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,536.80 : 498,878.10 = 164,137.80 : x
  2. Step 2: Convert to fraction form
    332,536.80/498,878.10 = 164,137.80/x
  3. Step 3: Cross multiply
    332,536.80x = 498,878.10 × 164,137.80
  4. Step 4: Simplify right side
    332,536.80x = 81,884,753,802.18
  5. Step 5: Solve for x
    x = 81,884,753,802.18/332,536.80
  6. Step 6: Final answer
    x = 246,242.68

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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.