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Finding the Fourth Proportional to 213,089.40, 319,634.10 and 133,774.20

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Solution

The fourth proportional to 213,089.40, 319,634.10 and 133,774.20 is: 200,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,089.40 : 319,634.10 = 133,774.20 : x
  2. Step 2: Convert to fraction form
    213,089.40/319,634.10 = 133,774.20/x
  3. Step 3: Cross multiply
    213,089.40x = 319,634.10 × 133,774.20
  4. Step 4: Simplify right side
    213,089.40x = 42,758,796,020.22
  5. Step 5: Solve for x
    x = 42,758,796,020.22/213,089.40
  6. Step 6: Final answer
    x = 200,661.30

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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.