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Finding the Fourth Proportional to 123,536.97, 185,553.45 and 73,714.32

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Solution

The fourth proportional to 123,536.97, 185,553.45 and 73,714.32 is: 110,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,536.97 : 185,553.45 = 73,714.32 : x
  2. Step 2: Convert to fraction form
    123,536.97/185,553.45 = 73,714.32/x
  3. Step 3: Cross multiply
    123,536.97x = 185,553.45 × 73,714.32
  4. Step 4: Simplify right side
    123,536.97x = 13,677,946,390.40
  5. Step 5: Solve for x
    x = 13,677,946,390.40/123,536.97
  6. Step 6: Final answer
    x = 110,719.46

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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.