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Finding the Fourth Proportional to 225,510.69, 311,086.77 and 139,442.16

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Solution

The fourth proportional to 225,510.69, 311,086.77 and 139,442.16 is: 192,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,510.69 : 311,086.77 = 139,442.16 : x
  2. Step 2: Convert to fraction form
    225,510.69/311,086.77 = 139,442.16/x
  3. Step 3: Cross multiply
    225,510.69x = 311,086.77 × 139,442.16
  4. Step 4: Simplify right side
    225,510.69x = 43,378,611,156.22
  5. Step 5: Solve for x
    x = 43,378,611,156.22/225,510.69
  6. Step 6: Final answer
    x = 192,357.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.