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Finding the Fourth Proportional to 207,409.80, 286,221.42 and 121,419.48

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Solution

The fourth proportional to 207,409.80, 286,221.42 and 121,419.48 is: 167,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,409.80 : 286,221.42 = 121,419.48 : x
  2. Step 2: Convert to fraction form
    207,409.80/286,221.42 = 121,419.48/x
  3. Step 3: Cross multiply
    207,409.80x = 286,221.42 × 121,419.48
  4. Step 4: Simplify right side
    207,409.80x = 34,752,855,981.26
  5. Step 5: Solve for x
    x = 34,752,855,981.26/207,409.80
  6. Step 6: Final answer
    x = 167,556.48

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