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Finding the Fourth Proportional to 119,203, 164,494.26 and 71,447.08

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Solution

The fourth proportional to 119,203, 164,494.26 and 71,447.08 is: 98,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,203 : 164,494.26 = 71,447.08 : x
  2. Step 2: Convert to fraction form
    119,203/164,494.26 = 71,447.08/x
  3. Step 3: Cross multiply
    119,203x = 164,494.26 × 71,447.08
  4. Step 4: Simplify right side
    119,203x = 11,752,634,553.76
  5. Step 5: Solve for x
    x = 11,752,634,553.76/119,203
  6. Step 6: Final answer
    x = 98,593.45

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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.