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Finding the Fourth Proportional to 100,647.98, 138,897.36 and 55,329.46

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Solution

The fourth proportional to 100,647.98, 138,897.36 and 55,329.46 is: 76,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,647.98 : 138,897.36 = 55,329.46 : x
  2. Step 2: Convert to fraction form
    100,647.98/138,897.36 = 55,329.46/x
  3. Step 3: Cross multiply
    100,647.98x = 138,897.36 × 55,329.46
  4. Step 4: Simplify right side
    100,647.98x = 7,685,115,924.23
  5. Step 5: Solve for x
    x = 7,685,115,924.23/100,647.98
  6. Step 6: Final answer
    x = 76,356.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.