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Finding the Fourth Proportional to 212,900.54, 319,350.86 and 86,609.49

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Solution

The fourth proportional to 212,900.54, 319,350.86 and 86,609.49 is: 129,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,900.54 : 319,350.86 = 86,609.49 : x
  2. Step 2: Convert to fraction form
    212,900.54/319,350.86 = 86,609.49/x
  3. Step 3: Cross multiply
    212,900.54x = 319,350.86 × 86,609.49
  4. Step 4: Simplify right side
    212,900.54x = 27,658,814,682.61
  5. Step 5: Solve for x
    x = 27,658,814,682.61/212,900.54
  6. Step 6: Final answer
    x = 129,914.26

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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.