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Finding the Fourth Proportional to 212,883.37, 319,325.07 and 86,592.31

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Solution

The fourth proportional to 212,883.37, 319,325.07 and 86,592.31 is: 129,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,883.37 : 319,325.07 = 86,592.31 : x
  2. Step 2: Convert to fraction form
    212,883.37/319,325.07 = 86,592.31/x
  3. Step 3: Cross multiply
    212,883.37x = 319,325.07 × 86,592.31
  4. Step 4: Simplify right side
    212,883.37x = 27,651,095,452.21
  5. Step 5: Solve for x
    x = 27,651,095,452.21/212,883.37
  6. Step 6: Final answer
    x = 129,888.47

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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.