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Finding the Fourth Proportional to 205,031.92, 282,930 and 118,993.40

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Solution

The fourth proportional to 205,031.92, 282,930 and 118,993.40 is: 164,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,031.92 : 282,930 = 118,993.40 : x
  2. Step 2: Convert to fraction form
    205,031.92/282,930 = 118,993.40/x
  3. Step 3: Cross multiply
    205,031.92x = 282,930 × 118,993.40
  4. Step 4: Simplify right side
    205,031.92x = 33,666,802,662
  5. Step 5: Solve for x
    x = 33,666,802,662/205,031.92
  6. Step 6: Final answer
    x = 164,202.74

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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.