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Finding the Fourth Proportional to 213,133.14, 319,265.01 and 132,908.49

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Solution

The fourth proportional to 213,133.14, 319,265.01 and 132,908.49 is: 199,091.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,133.14 : 319,265.01 = 132,908.49 : x
  2. Step 2: Convert to fraction form
    213,133.14/319,265.01 = 132,908.49/x
  3. Step 3: Cross multiply
    213,133.14x = 319,265.01 × 132,908.49
  4. Step 4: Simplify right side
    213,133.14x = 42,433,030,388.93
  5. Step 5: Solve for x
    x = 42,433,030,388.93/213,133.14
  6. Step 6: Final answer
    x = 199,091.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.