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Finding the Fourth Proportional to 214,225.34, 319,422.75 and 208,340.06

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Solution

The fourth proportional to 214,225.34, 319,422.75 and 208,340.06 is: 310,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,225.34 : 319,422.75 = 208,340.06 : x
  2. Step 2: Convert to fraction form
    214,225.34/319,422.75 = 208,340.06/x
  3. Step 3: Cross multiply
    214,225.34x = 319,422.75 × 208,340.06
  4. Step 4: Simplify right side
    214,225.34x = 66,548,553,858.66
  5. Step 5: Solve for x
    x = 66,548,553,858.66/214,225.34
  6. Step 6: Final answer
    x = 310,647.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.